Zoom lens

ABSTRACT

A zoom optical system comprises a plurality of optical elements. The plurality of optical elements include a first optical element having two refracting surfaces and a plurality of reflecting surfaces formed in a transparent body, being arranged such that a light beam enters an inside of the transparent body from one of the two refracting surfaces and, after being successively reflected from the plurality of reflecting surfaces, exits from the other of the two refracting surfaces, and/or a second optical element having a plurality of surface mirrors integrally formed and decentered relative to one another, being arranged such that an incident light beam exits therefrom after being successively reflected from reflecting surfaces of the plurality of surface mirrors, and a third optical element composed of a plurality of coaxial refracting surfaces. In the zoom optical system, an image of an object is formed through the plurality of optical elements, and zooming is effected by varying relative positions of at least two optical elements of the plurality of optical elements.

BACKGROUND OF THE INVENTION

[0001] 1. Field of the Invention

[0002] This invention relates to zoom optical systems and image pickupapparatus using the same and, more particularly, to an optical systemwhich comprises a plurality of optical elements of two types, one ofwhich has a plurality of reflecting surfaces and the other of which hasrefracting surfaces alone, wherein, of the plurality of opticalelements, at least two optical elements move in differential relation toeffect zooming (to vary magnification). Still more particularly, thisinvention relates to zoom optical systems suited to be used in videocameras, still video cameras or copying machines.

[0003] 2. Description of Related Art

[0004] The zoom optical systems for the image pickup apparatus have beenknown as constructed with refracting elements or lenses alone. Theselenses are of the spherical or aspheric form of revolution symmetry andarranged on a common optical axis so that their surfaces take revolutionsymmetry with respect to the optical axis.

[0005] In the field of art of photographic objectives, there have beenmany previous proposals for utilizing reflecting surfaces such as convexor concave mirrors. It has been also known to provide an optical systemwhich makes use of a reflecting system and a refracting system inconjunction. This optical system is well known as the catadioptricsystem.

[0006]FIG. 23 is a schematic diagram of an optical system composed ofone concave mirror and one convex mirror, or so-called mirror opticalsystem.

[0007] In the mirror optical system shown in FIG. 23, an axial lightbeam 104 coming from an object is reflected by the concave mirror 101.While being converged, the light beam 104 goes toward the object side.After having been reflected by the convex mirror 102, the light beam 104forms an image on an image plane 103.

[0008] This mirror optical system is based on the configuration of theCassegrain type of reflecting telescope. The aim of adopting it is toshorten the total length of the entire optical system compared with thelong physical length of the refracting telescope, as the optical path isfolded by using two reflecting mirrors as arranged in opposed relation.

[0009] Even for the objective lens system constituting part of thetelescope, for the same reason, the Cassegrain type and many other typeshave come to be known which differ in the number and the constructionand arrangement of reflecting mirrors in order to ever more shorten thetotal length of the entire system.

[0010] Up to now, effort has been made to shorten the total length ofthe photographic lens as it is usually unduly long. For this purpose,instead of some of its lens elements, mirrors are used to efficientlyfold up the optical path. A compact optical system of mirror type isthus obtained.

[0011] In the Cassegrain type reflecting telescopes or like mirroroptical systems, however, the use of the convex mirror 102 leads, ingeneral case, to a problem that the object light beam 104 is shaded inpart. This is attributable to the fact that the back of the convexmirror 102 lies within the domain of passage of the object light beam104.

[0012] To solve this problem, the mirror may be decentered, thuspermitting the domain of passage of the object light beam 104 to becleared of the obstruction of the other parts of the optical system. Inother words, the principal ray 106 of the object light beam 104 is setoff from an optical axis 105. Such a mirror optical system, too, haspreviously been proposed.

[0013]FIG. 24 is a schematic diagram of a mirror optical systemdisclosed in U.S. Pat. No. 3,674,334, which has solved theabove-described problem of shading in such a way that the mirrors ofrevolution symmetry with respect to the optical axis are cut off inpart.

[0014] The mirror optical system shown in FIG. 25 comprises, in theorder in which the light beam encounters, a concave mirror 111, a convexmirror 113 and a concave mirror 112. In the prototype design, these areof the forms shown by the double-dots and single-dash lines, or ofrevolution symmetry with respect to the optical axis 114. In actualpractice, the concave mirror 111 is used in only the upper half on thepaper of the optical axis 114, the convex mirror 113 in only the lowerhalf and the concave mirror 112 in only a lower marginal portion,thereby bringing a principal ray 116 of the object light beam 115 awayfrom the optical axis 114. The optical system is thus made free from theshading of the object light beam 115.

[0015]FIG. 25 is a schematic diagram of another mirror optical systemdisclosed in U.S. Pat. No. 5,063,586. In this mirror optical system, themirrors are so arranged that their central axes set themselves off theoptical axis of the system. By this arrangement, a principal ray of theobject light beam is dislocated from the optical axis, thus solving theabove-described problem.

[0016] In FIG. 25, an object to be photographed lies in a plane 121.Assuming that a line perpendicular to the plane 121 is an optical axis127, it is found that, as the light beam encounters a convex mirror 122,a concave mirror 123, a convex mirror 124 and a concave mirror 125successively in this order, the centers of area of their reflectingsurfaces and their central axes (the lines connecting those centers withthe respective centers of curvature of these reflecting surfaces) 122 a,123 a, 124 a and 125 a are decentered from the optical axis 127. In FIG.25, the amounts of decentering of such parameters and the radii ofcurvature of all the surfaces are appropriately determined to preventthe object light beam 128 from being shaded by the back of any one ofthe mirrors. An object image is thus formed on a focal plane 126 withhigh efficiency.

[0017] In addition, U.S. Pat. Nos. 4,737,021 and 4,265,510 even disclosesimilar systems freed from the shading effect either by using partialmirrors of revolution symmetry with respect to the optical axis or byarranging the central axes themselves of the mirrors in decenteredrelation from the optical axis.

[0018] Meanwhile, the catadioptric optical system using both ofreflecting mirrors and refracting lenses can be made to have thefunction of varying the image magnification. As an example of thisoptical system, mention may be made of deep sky telescopes disclosed in,for example, U.S. Pat. Nos. 4,477,156 and 4,571,036, in which the imagemagnification is made variable by using a parabolic mirror in the mainmirror in conjunction with the Erfle eye-piece.

[0019] It is also known to provide another zooming technique which movestwo mirrors constituting part of the above-described mirror opticalsystem in differential relation. By this technique, the imagemagnification (or focal length) of the optical system for photography ismade variable.

[0020] For example, U.S. Pat. No. 4,812,030 discloses application ofsuch a zooming technique to the Cassegrain type reflecting telescopeshown in FIG. 23, wherein the separation from the concave mirror 101 tothe convex mirror 102 and the separation from the convex mirror 102 tothe image plane 103 are made variable relative to each other. Thus, amirror optical system for photography capable of zooming is obtained.

[0021]FIG. 26 shows another example of application disclosed in theabove U.S. Pat. No. 4,812,030. Referring to FIG. 26, a light beam 138from an object encounters a first concave mirror 131 and is reflectedfrom its surface, becoming a converging light beam. The converging lightbeam goes toward the object side, and encounters a first convex mirror132. Here, the light beam is reflected toward the image side, becomingan almost parallel light beam. The almost parallel light beam goes to asecond convex mirror 134 and is reflected therefrom, becoming adiverging light beam. The diverging light beam encounters a concavemirror 135. Here, the light beam is reflected and becomes a converginglight beam, focusing an image on an image plane 137.

[0022] In this optical system, the separation between the first concavemirror 131 and the first convex mirror 132 is made to vary, while theseparation between the second convex mirror 134 and the second concavemirror 135 is made to vary simultaneously, so as to effect zooming. Thefocal length of the entirety of the mirror optical system is thus madevariable.

[0023] Also, in U.S. Pat. No. 4,993,818, an image formed by theCassegrain reflecting telescope shown in FIG. 23 is then re-focused byanother mirror optical system provided in the rear stage, therebyforming a secondary image. The magnifying power of the mirror opticalsystem for forming the secondary image is made variable. By thisarrangement, the photographic system as a whole is provided with thecapability of varying the image magnification.

[0024] These reflecting optical systems for photography have a greatnumber of constituent parts. To obtain the required optical performance,it is necessary to increase the accuracy with which to set up theindividual optical parts. In particular, because the positioningtolerance for the mirrors is severe, it is indispensable to adjust theposition and angle of each mirror.

[0025] To solve this problem, a method has been proposed, for example,to construct the mirror system in the form of one block, thus avoidingan error from occurring when the optical parts are set up.

[0026] Heretofore, what are known as such a block having a large numberof reflecting surfaces therein are, for example, optical prisms such aspentagonal roof prisms or Porro-prisms used in the viewfinder systems.

[0027] For these prisms, a plurality of reflecting surfaces are unifiedby the molding techniques. All these reflecting surfaces are, therefore,made up under the control of their relative positions with highaccuracy, thus obviating the necessity of doing later adjustment of therelative positions of the assembled reflecting surface to one another.However, the main function of these prisms is to change the direction inwhich light advances for the purpose of inverting the image. Everyreflecting surface has, therefore, to take the plain form.

[0028] On the other hand, there is also known an optical system in whichcurvature is imparted to the reflecting surface of the prism.

[0029]FIG. 27 is a schematic diagram showing the main parts of anobserving optical system disclosed in U.S. Pat. No. 4,775,217. Thisobserving optical system is used for observing the external field orlandscape and, at the same time, presenting an information display ofdata and icons in overlapping relation on the landscape.

[0030] The rays of light 145 radiating from an information display body141 are reflected from a surface 142, going to the object side untilthey encounter a half-mirror 143 of concave form. After having beenreflected from the half-mirror 143, the light rays 145 become nearlyparallel by the refractive power of the concave surface 143, and passthrough the surface 142, reaching the eye 144 of the observer. So, theobserver views an enlarged virtual image of the displayed data or icons.

[0031] Meanwhile, a light beam 146 from an object enters at a surface147 which is nearly parallel with the reflecting surface 142, and isrefracted there, arriving at the concave half-mirror surface 143. Sincethis surface 143 is coated with a half-permeable layer by the vacuumevaporation technique, part of the light beam 146 passes through theconcave surface 143 and is refracted in transmitting the surface 142,entering the pupil 144 of the observer. So, the observer views thedisplay image in overlapping relation on the external field orlandscape.

[0032]FIG. 28 is a schematic diagram showing the main parts of anotherobserving optical system disclosed in Japanese Laid-Open PatentApplication No. Hei. 2-297516. This observing optical system, too, isused for viewing the external field or landscape and, at the same time,looking the information on the display device as overlapping the view.

[0033] In this observing optical system, a light beam 154 from aninformation display body 150 enters a prism Pa at a flat surface 157 andis made incident on a parabolic reflecting surface 151. Being reflectedfrom this surface 151, the light beam 154 converges and forms an imageon a focal plane 156. During this time, the light beam 154 for displayundergoes total reflection from the successive two parallel planesconstituting part of the prism Pa, reaching the focal plane 156. By thisarrangement, thinning of the optical system as a whole is achieved.

[0034] The display light beam 154 that has exited as a diverging beamfrom the focal plane 156 then proceeds while undergoing total reflectionbetween the flat surfaces 157 and 158, until it encounters a half-mirrorsurface 152 of parabolic form. The light beam 154 is reflected from thehalf-mirror surface 152 and, at the same time, forms an enlarged virtualimage of the display by its refractive power, becoming a nearly parallelbeam. After having passed through the surface 157, the light beam 154enters the pupil 153 of the observer. Thus, the observer looks at thedisplay image on the background of the external field or landscape.

[0035] Meanwhile, an object light beam 155 from the external fieldpasses through a flat surface 158 b constituting a prism Pb, then passesthrough the parabolic half-mirror surface 152 and exits from the surface157, reaching the eye 153 of the observer. So, the observer views theexternal field or landscape with the display image overlapping thereon.

[0036] Further, an optical element can be used on the reflecting surfaceof a prism. This is exemplified as an optical head for photo-pickupdisclosed in, for example, Japanese Laid-Open Patent Applications Nos.Hei 5-12704 and Hei 6-139612. Such a head receives the light from asemiconductor laser, then reflects it from the Fresnel surface orhologram surface to form an image on a disk, and then conducts thereflected light from the disk to a detector.

[0037] The conventional optical system of the type which has refractiveoptical elements alone puts the stop inside thereof. In many cases, theentrance pupil lies deep in the optical system. The longer theseparation between the stop and the entrance surface at the frontmostposition, the larger the ray effective diameter of that entrance surfacebecomes. Further, there is a problem that, as the angle of viewincreases, the ray effective diameter of that entrance surface increaseseven more greatly.

[0038] The optical systems of the mirror type disclosed in the aboveU.S. Pat. Nos. 3,674,334, 5,063,586 and 4,265,510 have a common featurethat all the reflecting mirrors are made decentered by respectivedifferent amounts of decentering. Hence, the mounting mechanism for thereflecting mirrors becomes very elaborate in structure. It is also verydifficult to secure the setup tolerance.

[0039] The photographic optical systems having the zooming functiondisclosed in U.S. Pat. Nos. 4,812,030 and 4,993,818, too, has, in anycase, a large number of constituent parts such as mirrors and lenselements for forming an image. To obtain satisfactory opticalperformance, therefore, it is necessary to set up all the optical partsin relation to one another with high accuracy.

[0040] Particularly for the reflecting mirrors, the tolerance for therelative position becomes severe. Therefore, it is also necessary toaccurately adjust the position and orientation of each of the reflectingmirrors.

[0041] It should be also noted that the conventional reflecting typephotographic optical systems are adapted for application to theso-called telephoto type of lens systems as this type has a long totallength and a small field angle. To attain a photographic optical systemwhich necessitates the field angles of from the standard lens to thewide-angle lens, because an increasing number of reflecting surfaces forcorrecting aberrations is required to use, the parts must bemanufactured to even higher precision accuracy and assembled with evenseverer a tolerance. Therefore, the production cost has to besacrificed. Otherwise, the size of the entire system tends to increasegreatly.

[0042] Also, the observing optical systems disclosed in the above U.S.Pat. No. 4,775,217 and Japanese Laid-Open Patent Application No. Hei2-297516 each have an aim chiefly to produce the pupil image formingfunction such that, as the information display is positioned remotely ofthe observer's eye, the light is conducted with high efficiency to thepupil of the observer. Another chief aim is to change the direction inwhich light advances. Concerning the positive use of thecurvature-imparted reflecting surface in correcting aberrations,therefore, no technical ideas are directly disclosed.

[0043] Also, the optical systems for photo-pickup disclosed in the aboveJapanese Laid-Open Patent Applications Nos. Hei 5-12704 and Hei 6-139612each limit its use to a detecting optical system. Therefore, thesesystems are unable to satisfy the imaging performance for photographicoptical systems and particularly image pickup apparatus using a CCD orlike area type image sensor.

BRIEF SUMMARY OF THE INVENTION

[0044] It is an object of the invention to provide a zoom optical systemand an image pickup apparatus using the same, wherein there are provideda plurality of optical elements which are constituted by an opticalelement in which a plurality of curved or flat reflecting surfaces areformed and an optical element composed only of coaxial refractingsurfaces, and relative positions of at least two optical elements of theplurality of optical elements are varied to effect zooming, so that thezoom optical system as a whole is minimized in bulk and size, and, atthe same time, the accuracy with which the reflecting surfaces are setup (or the assembling tolerance) that greatly affects the performancelittle differs from item to item.

[0045] Further, a stop is disposed either on the object side of the zoomoptical system or adjacent to a light entrance surface at which a lightbeam first enters, and an object image is formed at least once withinthe zoom optical system. By this arrangement, despite the zoom opticalsystem having a wide angular field, the effective diameter of every oneof the optical elements is shortened. Moreover, a plurality ofreflecting surfaces constituting the optical element are givenappropriate refractive powers. At the same time, these reflectingsurfaces are arranged in decentering relation to thereby fold theoptical path in the zoom optical system to a desired shape withoutcausing shading of a light beam within the zoom optical system. It is,therefore, another object of the invention to provide a zoom opticalsystem of shortened total length in a certain direction and an imagepickup apparatus using the same.

[0046] To attain the above objects, in accordance with one aspect of theinvention, there is provided a zoom optical system, which comprises aplurality of optical elements including a first optical element havingtwo refracting surfaces and a plurality of reflecting surfaces formed ina transparent body, being arranged such that a light beam enters aninside of the transparent body from one of the two refracting surfacesand, after being successively reflected from the plurality of reflectingsurfaces, exits from the other of the two refracting surfaces, and/or asecond optical element having a plurality of surface mirrors integrallyformed and decentered relative to one another, being arranged such thatan incident light beam exits therefrom after being successivelyreflected from reflecting surfaces of the plurality of surface mirrors,and a third optical element composed of a plurality of coaxialrefracting surfaces, wherein an image of an object is formed through theplurality of optical elements, and zooming is effected by varyingrelative positions of at least two optical elements of the plurality ofoptical elements.

[0047] Of the other features, especial ones are as follows.

[0048] A stop is disposed on a light entrance side of the zoom opticalsystem, or adjacent to a light entrance surface at which a light beamfirst enters.

[0049] Each of the at least two optical elements of which relativepositions are varied has an entering reference axis and an exitingreference axis in parallel to each other.

[0050] The at least two optical elements of which relative positions arevaried move on one movement plane in parallel to each other.

[0051] Each of the at least two optical elements of which relativepositions are varied has an entering reference axis and an exitingreference axis oriented to the same direction.

[0052] One of the at least two optical elements of which relativepositions are varied has an entering reference axis and an exitingreference axis oriented to the same direction, and another of the atleast two optical elements of which relative positions are varied has anentering reference axis and an exiting reference axis oriented toopposite directions.

[0053] Each of the at least two optical elements of which relativepositions are varied has an entering reference axis and an exitingreference axis oriented to opposite directions.

[0054] Focusing is effected by moving one of the at least two opticalelements of which relative positions are varied.

[0055] Focusing is effected by moving an optical element other than theat least two optical elements of which relative positions are varied.

[0056] The zoom optical system forms at least once an object image at anintermediate point in an optical path thereof.

[0057] Of the plurality of reflecting surfaces, curved reflectingsurfaces are all formed to anamorphic shapes.

[0058] All reference axes of the at least two optical elements of whichrelative positions are varied lie on one plane.

[0059] At least a part of reference axes of an optical element otherthan the at least two optical elements of which relative positions arevaried lie on the one plane.

[0060] At least one optical element of the plurality of optical elementshas a reflecting surface in which a normal line on the reflectingsurface at an intersection point of a reference axis with the reflectingsurface is inclined with respect to a movement plane on which the atleast two optical elements of which relative positions are varied move.

[0061] These and further objects and features of the invention willbecome apparent from the following detailed description of the preferredembodiments thereof taken in conjunction with the accompanying drawings.

BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWING

[0062]FIG. 1 shows sectional views of an embodiment 1 of the zoomoptical system according to the invention with the optical paths shownin the YZ plane.

[0063]FIG. 2 shows graphs of the lateral aberrations of the embodiment 1in the wide-angle end.

[0064]FIG. 3 shows graphs of the lateral aberrations of the embodiment 1in a middle position.

[0065]FIG. 4 shows graphs of the lateral aberrations of the embodiment 1in the telephoto end.

[0066]FIG. 5 is a diagram of geometry for explaining the coordinatesystems in the embodiments of the invention.

[0067]FIG. 6 shows sectional views of an embodiment 2 of the zoomoptical system according to the invention with the optical paths shownin the YZ plane.

[0068]FIG. 7 shows graphs of the lateral aberrations of the embodiment 2in the wide-angle end.

[0069]FIG. 8 shows graphs of the lateral aberrations of the embodiment 2in a middle position.

[0070]FIG. 9 shows graphs of the lateral aberrations of the embodiment 2in the telephoto end.

[0071]FIG. 10 shows sectional views of an embodiment 3 of the zoomoptical system according to the invention with the optical paths shownin the YZ plane.

[0072]FIG. 11 shows graphs of the lateral aberrations of the embodiment3 in the wide-angle end.

[0073]FIG. 12 shows graphs of the lateral aberrations of the embodiment3 in a middle position.

[0074]FIG. 13 shows graphs of the lateral aberrations of the embodiment3 in the telephoto end.

[0075]FIG. 14 shows sectional views of an embodiment 4 of the zoomoptical system according to the invention with the optical paths shownin the YZ plane.

[0076]FIG. 15 shows graphs of the lateral aberrations of the embodiment4 in the wide-angle end.

[0077]FIG. 16 shows graphs of the lateral aberrations of the embodiment4 in a middle position.

[0078]FIG. 17 shows graphs of the lateral aberrations of the embodiment4 in the telephoto end.

[0079]FIG. 18 is a perspective view of a zoom optical system with anentering reference axis taken in parallel to the X axis.

[0080]FIG. 19 shows sectional views of an embodiment 5 of the zoomoptical system according to the invention with the optical paths shownin the YZ plane.

[0081]FIG. 20 shows graphs of the lateral aberrations of the embodiment5 in the wide-angle end.

[0082]FIG. 21 shows graphs of the lateral aberrations of the embodiment5 in a middle position.

[0083]FIG. 22 shows graphs of the lateral aberrations of the embodiment5 in the telephoto end.

[0084]FIG. 23 is a diagram of the basic configuration of the Cassegraintype reflecting telescope.

[0085]FIG. 24 is a diagram for explaining a first method of avoiding theshading by putting the principal ray away from the optical axis in themirror optical system.

[0086]FIG. 25 is a diagram for explaining a second method of avoidingthe shading by putting the principal ray away from the optical axis inthe mirror optical system.

[0087]FIG. 26 is a schematic diagram of the conventional zoom opticalsystem using reflecting mirrors.

[0088]FIG. 27 is a diagram of an observing optical system using a prismhaving its reflecting surface curved.

[0089]FIG. 28 is a diagram of another observing optical system using aprism having two curved reflecting surfaces.

[0090]FIG. 29 is a diagram of the basic design of an embodiment 6 of thezoom optical system according to the invention.

[0091]FIG. 30 is a sectional view of the form of a first optical elementin the embodiment 6.

[0092]FIG. 31 is a perspective view of the first optical element in theembodiment 6.

[0093]FIG. 32 is a diagram of the basic design of an embodiment 7 of thezoom optical system according to the invention.

[0094]FIG. 33 is a diagram of the basic design of an embodiment 8 of thezoom optical system according to the invention.

[0095]FIG. 34 is a sectional view of the optics of the embodiment 6 inthe wide-angle end.

[0096]FIG. 35 is a sectional view of the optics of the embodiment 6 in amiddle position.

[0097]FIG. 36 is a sectional view of the optics of the embodiment 6 inthe telephoto end.

[0098]FIG. 37 shows graphs of the lateral aberrations of the embodiment6 in the wide-angle end.

[0099]FIG. 38 shows graphs of the lateral aberrations of the embodiment6 in the middle position.

[0100]FIG. 39 shows graphs of the lateral aberrations of the embodiment6 in the telephoto end.

[0101]FIG. 40 is a sectional view of the optics of the embodiment 7 inthe wide-angle end.

[0102]FIG. 41 is a sectional view of the optics of the embodiment 7 in amiddle position.

[0103]FIG. 42 is a sectional view of the optics of the embodiment 7 inthe telephoto end.

[0104]FIG. 43 shows graphs of the lateral aberrations of the embodiment7 in the wide-angle end.

[0105]FIG. 44 shows graphs of the lateral aberrations of the embodiment7 in the middle position.

[0106]FIG. 45 shows graphs of the lateral aberrations of the embodiment7 in the telephoto end.

[0107]FIG. 46 is a sectional view of the optics of the embodiment 8 inthe wide-angle end.

[0108]FIG. 47 is a sectional view of the optics of the embodiment 8 in amiddle position.

[0109]FIG. 48 is a sectional view of the optics of the embodiment 8 inthe telephoto end.

[0110]FIG. 49 shows graphs of the lateral aberrations of the embodiment8 in the wide-angle end.

[0111]FIG. 50 shows graphs of the lateral aberrations of the embodiment8 in the middle position.

[0112]FIG. 51 shows graphs of the lateral aberrations of the embodiment8 in the telephoto end.

DETAILED DESCRIPTION OF THE INVENTION

[0113] Before describing the embodiments of the invention, the way ofexpressing the various dimensions of the structure and the commonfeatures of all the embodiments are described below.

[0114]FIG. 5 is a diagram taken to explain a coordinate system by whichto define the design parameters for the optical system of the invention.In the embodiments of the invention, the surfaces are numberedconsecutively along a ray of light (shown by single-dot and dash linesin FIG. 5) advancing from the object side to the image plane. This rayof light will be called “reference axis ray”, and the i-th surface willbe expressed by Ri.

[0115] In FIG. 5, the first surface R1 is a stop, the second surface R2is a refracting surface coaxial to the first surface R1, the thirdsurface R3 is a reflecting surface tilted relative to the second surfaceR2, the fourth surface R4 and the fifth surface R5 each are a reflectingsurface shifted and tilted relative to the respective preceding surface,and the sixth surface R6 is a refracting surface shifted and tiltedrelative to the fifth surface R5. All of the second to sixth surfaces R2to R6 are constructed on a common substrate of glass, plastic or likematerial to form an optical element. This is a first optical elementand, in FIG. 5, indicated by B1.

[0116] In the construction and arrangement of FIG. 5, therefore, themedium of from an object plane (not shown) to the second surface R2 isair. The spaces between the successive two of the second surface R2through the sixth surface R6 are filled with a common medium of certainmaterial. The medium between the sixth surface R6 and a seventh surfaceR7 (not shown) is air.

[0117] Since the optical system of the invention is a decentering one,its constituent surfaces have no common optical axis. Accordingly, forthe embodiments of the invention, the first surface Rl is taken to setup an absolute coordinate system. The original point is put at thevertex of the first surface R1 which coincides with the center ofdiameter of a light beam.

[0118] A light ray from the original point passes through the opticalelement B1, reaching the center of area of a plane on which to form thelast image. The path of this ray is defined as a reference axis of theoptical system. Further, in the embodiments of the invention, thereference axis has directional factors (orientations). The orientationis taken as positive when it coincides with the direction in which theray for the reference axis advances to the image plane.

[0119] Although the embodiments of the invention will be specified byreference to such an axis, it is to be noted that the choice of an axisto be used may otherwise be made on consideration of what reference ismost favorable to the optical design, the balance of correctedaberrations, or the expression of the shapes of all the constituentsurfaces of the optical system. However, it is general that the path ofa ray which arrives at the center of area of the image plane and passesthrough any one of the center of the stop, or the entrance pupil, or theexit pupil, or the first surface of the optical system and the center ofthe last surface, is employed as the reference axis for the opticalsystem.

[0120] That is, in the embodiments of the invention, determination ofthe reference axis is made in the steps of selecting a ray which crossesthe first surface, or the stop plane, at the center of effectivediameter of the light beam and is to arrive at the center of area of theplane on which to form the final image, (or the reference axis ray) andtracing the path to which it is refracted or reflected by or from everyone of the refracting and reflecting surfaces. All the surfaces arenumbered consecutively as such a ray for the reference axis undergoessuccessive refractions and reflections.

[0121] The reference axis changes its direction, as the selected one ofthe surfaces changes its number, according to the law of refraction orreflection, finally reaching the center of the image plane.

[0122] In every one of the embodiments of the invention, the opticalsystem includes tilted surfaces. The tilting is done as a rule in oneand the same plane. So, the axes of the absolute coordinate system aredefined as follows.

[0123] Z axis: the reference axis passing the original point and goingto the second surface R2;

[0124] Y axis: a line passing the original point and making an angle of90° with the Z axis counterclockwise in the tilt plane (in the paper ofFIG. 5); and

[0125] X axis: a line passing the original point and perpendicular toeach of the Z and Y axes (the normal of the paper of FIG. 5).

[0126] For the other surfaces than the first one, the absolutecoordinate system is not suitable for expressing their shapes. To allowthe shape of the i-th surface to be recognized at a glance, it is betterto make use of a local coordinate system whose original point is takenat the point of intersection of the reference axis with the i-thsurface. In the specific embodiments of the invention, therefore, thenumerical data of the design parameters for the i-th surface are givenby using the local coordinate system.

[0127] The tilted angle of the i-th surface in the YZ plane is expressedby θi (in units of degree), the counterclockwise direction from the Zaxis of the absolute coordinate system being taken as positive. In theembodiments of the invention, therefore, the original point of the localcoordinate system for each surface lies on the YZ plane in FIG. 5. Itshould be also noted that any surfaces are not decentered in the XZ andXY planes. Further, the y and z axes of the local coordinate system (x,y, z) for the i-th surface are inclined to the absolute coordinatesystem (X, Y, Z) by θi in the YZ plane. So these axes are defined asfollows:

[0128] z axis: the line passing the original point of the localcoordinates and making an angle θi with the Z direction of the absolutecoordinate system counter-clockwise in the YZ plane;

[0129] y axis: the line passing the original point of the localcoordinates and making an angle of 90° with the z directioncounterclockwise in the YZ plane; and

[0130] x axis: the line passing the original point of the localcoordinates and perpendicular to the YZ plane.

[0131] Di is in the scaler quantity, representing the separation betweenthe original points of the local coordinates for the i-th and (i+1)stsurfaces, and Ndi and vdi are respectively the refractive index and Abbenumber of the medium between the i-th and (i+1)st surfaces.

[0132] Another feature of the embodiments of the invention is that theoptical system varies the focal length (image magnification) as aplurality of optical elements move. To illustrate the embodiments of theinvention by citing numerical data, the optical system is shown insectional views in three operative positions, namely, the wide-angle end(W), the telephoto end (T) and a middle position (M) therebetween. Thenumerical data of the variable separations are given in tables.

[0133] It is to be noted that the optical element of FIG. 5 moves in theYZ plane. By this, what takes different values with different operativepositions is the original point (Yi, Zi) of the local coordinates forexpressing each surface. In the numerical examples of the embodiments,for a case where the optical elements movable for varying the imagemagnification go along the Z axis, the values Zi of the coordinates areexpressed by Zi(W), Zi(M) and Zi(T) as the optical system is stationedin the wide-angle end, the middle position and the telephoto end,respectively. For another case where the zooming movement occurs in theY axis, the values Yi of the coordinates are expressed by Yi(W), Yi(M)and Yi(T) as the optical system is stationed in the wide-angle end, themiddle position and the telephoto end, respectively.

[0134] Incidentally, the values of the coordinate of every surface areexpressed in relation of the values for the wide-angle end. Theexpression of the values for the middle position and the telephoto endis given by the differences from those of the wide-angle end.Specifically, denoting the moved amounts from the wide-angle end (W) tothe middle position (M) and the telephoto end (T) by “a” and “b”,respectively, the following equations are obtained:

Zi(M)=Zi(W)+a

Zi(T)=Zi(W)+b

[0135] The sign of the “a” or “b” is positive when the surface moves inthe plus direction, or negative when it moves in the minus direction.The same applies to the case of the movement in the Y axis. Suchmovement causes variation of the separation Di between the i-th and(i+1)st surfaces. The values of all the variable separations for each ofthe zooming positions are given together in another tabulation.

[0136] The surfaces in the embodiments of the invention are either ofsphere or of asphere of revolution asymmetry. Of these, the sphere canbe described by the radius of curvature Ri. The sign of the radius ofcurvature Ri is taken as plus when the center of curvature falls in theplus direction of the z axis of the local coordinates, or as minus whenit falls in the minus direction of the z axis.

[0137] Here, the shape of the spherical surface is expressed by thefollowing equation:$z = \frac{\left( {x^{2} + y^{2}} \right)/{Ri}}{1 + \sqrt{1 - {\left( {x^{2} + y^{2}} \right)/{Ri}^{2}}}}$

[0138] The optical system of the invention includes at least oneaspheric surface of revolution asymmetry and its shape is expressed bythe following equation:

z=A/B+C ₀₂ y ² +C ₂₀ x ² +C ₀₃ y ³ +C ₂₁ x ² y+C ₀₄ y ⁴ +C ₂₂ x ² y ² +C₄₀ x ⁴

[0139] where

A=(a+b) (y ²·cos² t+x ²)

B=2a·b·cos t[1+{(b−a)·y·sin t/ (2a·b)}+[1+{(b−a)·y·sin t/(a·b)}−{y²/(a·b)}

−{4a·b·cos² t+(a+b)²·sin² t}x ²/(4a ² b ²·cos² t)]^(½)].

[0140] As far as the variable “x” is concerned, the above-describedequation for the curved surface contains only the terms of even numberedpowers. Therefore, the surface defined by such an equation becomes asymmetric form with respect to the YZ plane. If it satisfies thefollowing additional condition:

[0141] C₀₃=C₂₁=t=0,

[0142] the surface is symmetric with respect to the xz plane. If itsatisfies the following furthermore conditions:

[0143] C₀₂=C₂₀,

[0144] C₀₄=C₄₀=C₂₂/2

[0145] the surface is of revolution symmetry. In the case of notsatisfying the conditions described above, the shape is of revolutionasymmetry.

[0146] In all the embodiments of the invention except the embodiment 4,the first surface is a stop as shown in FIG. 5. The term “horizontalsemifield u_(y)” means a half of the maximum angular field the systemcovers at the first surface R1 in the YZ plane of FIG. 5. The term“vertical semifield u_(x)” means a half of the maximum angular field thesystem covers at the first surface R1 in the XZ plane. Also, thediameter of the stop is shown as the aperture diameter. This regulatesthe brightness of the optical system. It is to be noted that, except forthe embodiment 4, the entrance pupil takes its place in the firstsurface. So, the aperture diameter described above is equal to thediameter of the entrance pupil.

[0147] Also, the effective area of the image plane is shown as the imagesize. The image area is of the rectangular shape with the horizontalsides in the y direction of the local coordinates, and the verticalsides in the x direction.

[0148] Also, in the numerical examples of the embodiments, the size ofthe optical system is shown as determined by the effective diameter ofthe light beam available at the wide-angle end.

[0149] The numerical data of design parameters give lateral aberrationswhich are graphically represented in the operative position of eachoptical system. For the wide-angle end (W), the middle position (M) andthe telephoto end (T), a ray of light is incident on the stop R1 athorizontal and vertical angles of (u_(y), .u_(x)), (0, u_(x)), (−u_(y),u_(x)), (u_(y), 0) (0,0) or (−u_(y), 0) with production of the lateralaberrations. In the graphs of the lateral aberrations, the abscissarepresents the height of incidence on the pupil and the ordinaterepresents the produced amount of aberration. In any of the embodiments,every surface is basically formed to symmetric shapes in respect to theyz plane. Even in the graphs of the lateral aberrations, therefore, theplus and minus directions of the vertical angular field become the same.So, the graphs of the lateral aberrations of the minus direction areomitted for the purpose of simplifying the drawings.

[0150] Next, each of the embodiments is described in detail below.

[0151] (Embodiment 1)

[0152]FIG. 1 shows sectional views in the YZ plane of embodiment 1 ofthe zoom optical system according to the invention. The presentembodiment is applied to the optical system for use in picking up animage to obtain a 3-unit zoom lens. Its design parameters have thenumerical values given in tables below. W M T Horizontal Semifield 26.318.2 9.3 Vertical Semifield 20.3 13.9 7.0 Aperture Diameter 2.4 2.4 2.4where W: the wide-angle end; M: the middle position; and T: telephotoend Image Size in mm: (H × V) = 4.8 × 3.6 Optics Size at W: (X × Y × Z)= 12.4 × 32.9 × 62.0 where H: horizontal; and V: vertical i Yi Zi (W) θiDi Ndi νdi Sur.  1 0.00 0.00 0.00 6.15 1 Stop First Optical Element B1: 2 0.00 6.15 0.00 9.00 1.64769 33.80 R  3 0.00 15.15 17.78 11.66 1.6476933.80 L  4 −6.78 5.66 2.45 11.20 1.64769 33.80 L  5 −12.49 15.30 10.8110.61 1.64769 33.80 L  6 −14.15 4.82 −17.97 10.69 1.64769 33.80 L  7−21.71 12.38 −22.49 8.37 1.64769 33.80 L  8 −21.71 4.01 0.00 Var. 1 R *)R stands for refracting surface; L for reflecting surface. SecondOptical Element B2:  9 −21.71 −10.91 0.00 1.45 1.48749 70.21 R 10 −21.71−12.37 0.00 0.18 1 R 11 −21.71 −12.55 0.00 1.57 1.60311 60.66 R 12−21.71 −14.12 0.00 0.13 1 R 13 −21.71 −14.25 0.00 1.38 1.62041 60.27 R14 −21.71 −15.62 0.00 0.10 1 R 15 −21.71 −15.72 0.00 2.14 1.64100 56.92R 16 −21.71 −17.87 0.00 0.12 1 R 17 −21.71 −17.99 0.00 0.67 1.7173629.51 R 18 −21.71 −18.66 0.00 Var. 1 R Third Optical Element B3: 19−21.71 −32.51 0.00 2.04 1.58913 61.18 R 20 −21.71 −34.55 0.00 0.71 1 R21 −21.71 −35.26 0.00 0.86 1.56384 60.69 R 22 −21.71 −36.12 0.00 0.10 1R 23 −21.71 −36.22 0.00 2.15 1.60311 60.66 R 24 −21.71 −38.38 0.00 0.101 R 25 −21.71 −38.48 0.00 2.85 1.75520 27.51 R 26 −21.71 −41.32 0.000.10 1 R 27 −21.71 −41.42 0.00 0.50 1.65446 33.62 R 28 −21.71 −41.920.00 Var. 1 R 29 −21.71 −46.00 0.00 0.00 1 I.P. where I.P. stands forImage Plane. W M T D 8 14.93 7.22 9.22 D 18 13.86 9.52 2.59 D 28 4.0816.14 21.06 R 1 + up to R 8: Zi (M) = Zi (W) Zi (T) = Zi (W) R 9 + up toR 18: Zi (M) = Zi (W) + 7.73 Zi (T) = Zi (W) + 5.71 R 19 + up to R 28:Zi (M) = Zi (W) + 12.06 Zi (T) = Zi (W) + 16.98 R 29: Zi (M) = Zi (W) Zi(T) = Zi (W) Shape of Spherical Surface: R2 Surface: R₂ = −12.622 R8Surface: R₈ = 14.877 R9 Surface: R₉ = 12.866 R10 Surface: R₁₀ = 10.705R11 Surface: R₁₁ = 138.974 R12 Surface: R₁₂ = 14.258 R13 Surface: R₁₃ =−42.325 R14 Surface: R₁₄ = 14.369 R15 Surface: R₁₅ = −7.298 R16 Surface:R₁₆ = 58.857 R17 Surface: R₁₇ = 29.735 R18 Surface: R₁₈ = −6.045 R19Surface: R₁₉ = −98.642 R20 Surface: R₂₀ = 20.180 R21 Surface: R₂₁ =−28.327 R22 Surface: R₂₂ = 37.323 R23 Surface: R₂₃ = −11.405 R24Surface: R₂₄ = 11.769 R25 Surface: R₂₅ = 11.362 R26 Surface: R₂₆ =67.664 R27 Surface: R₂₇ = −6.735 R28 Surface: R₂₈ = −5.455 Shape ofAspheric Surface: R 3: a = −1.67168e+01 b = −1.40383e+01 t = 2.13856e+01C₀₃ ₌ −4.89226e−05 C₂₁ ₌ −8.30083e−05 C₀₄ ₌ 1.08453e−05 C₂₂ ₌2.53575e−05 C₄₀ ₌ 1.82792e−05 R 4: a = −6.16288e+00 b = −1.19620e+01 t =4.52060e+01 C₀₃ ₌ 4.89807e−03 C₂₁ ₌ 2.67721e−03 C₀₄ ₌ 1.88551e−04 C₂₂ ₌−2.04184e−04 C₄₀ ₌ 1.07399e−04 R 5: a = −2.03427e +01 b = −2.34954e+01 t= 3.70433e+01 C₀₃ ₌ 5.02647e−04 C₂₁ ₌ 1.88611e−04 C₀₄ ₌ 2.09495e−05 C₂₂₌ 2.42572e−06 C₄₀ = −1.92403e−06 R 6: a = −1.22106e+02 b = −1.22097e +02t = 7.58653e+01 C₀₃ = 4.66466e−04 C₂₁ = 4.88673e−05 C₀₄ = 4.14548e−05C₂₂ = −1.09844e−04 C₄₀ = 6.05085e−05 R 7: a = −1.45959e+01 b =−1.84911e+02 t = 2.98825e+01 C₀₃ = 2.73516e−04 C₂₁ = 5.85397e−05 C₀₄ =2.28623e−06 C₂₂ = −6.14890e−06 C₄₀ = 8.24738e−06

[0153] Image Size in mm: (H×V) 4.8×3.6

[0154] Optics Size at W: (X×Y×Z)=12.4×32.9×62.0 where H: horizontal; andV: vertical i Yi Zi (W) θi Di Ndi νdi Sur. 1 0.00 0.00 0.00 6.15 1 StopFirst Optical Element B1: 2 0.00 6.15 0.00 9.00 1.64769 33.80 R* 3 0.0015.15 17.78 11.66 1.64769 33.80 L* 4 −6.78 5.66 2.45 11.20 1.64769 33.80L 5 −12.49 15.30 −10.81 10.61 1.64769 33.80 L 6 −14.15 4.82 −17.97 10.691.64769 33.80 L 7 −21.71 12.38 −22.49 8.37 1.64769 33.80 L 8 −21.71 4.010.00 Var. 1 R Second Optical Element B2: 9 −21.71 −10.91 0.00 1.451.48749 70.21 R 10 −21.71 −12.37 0.00 0.18 1 R 11 −21.71 −12.55 0.001.57 1.60311 60.66 R 12 −21.71 −14.12 0.00 0.13 1 R 13 −21.71 −14.250.00 1.38 1.62041 60.27 R 14 −21.71 −15.62 0.00 0.10 1 R 15 −21.71−15.72 0.00 2.14 1.64100 56.92 R 16 −21.71 −17.87 0.00 0.12 1 R 17−21.71 −17.99 0.00 0.67 1.71736 29.51 R 18 −21.71 −18.66 0.00 Var. 1 RThird Optical Element B3: 19 −21.71 −32.51 0.00 2.04 1.58913 61.18 R 20−21.71 −34.55 0.00 0.71 1 R 21 −21.71 −35.26 0.00 0.86 1.56384 60.69 R22 −21.71 −36.12 0.00 0.10 1 R 23 −21.71 −36.22 0.00 2.15 1.60311 60.66R 24 −21.71 −38.38 0.00 0.10 1 R 25 −21.71 −38.48 0.00 2.85 1.7552027.51 R 26 −21.71 −41.32 0.00 0.10 1 R 27 −21.71 −41.42 0.00 0.501.65446 33.62 R 28 −21.71 −41.92 0.00 Var. 1 R 29 −21.71 −46.00 0.00 1I.P.

[0155] In FIG. 1, the first surface R1 is a stop at which the entrancepupil lies. A first optical element B1 is constructed with a secondsurface R2 (refracting entrance surface), a third surface R3 to aseventh surface R7 of internal reflection in curved form, and an eighthsurface R8 (refracting exit surface) arranged on one block. A secondoptical element B2 is constructed with a number of lenses with tenrefracting surfaces, or the ninth surface R9 through the eighteenthsurface R18 arranged on a common optical axis. A third optical elementB3 is constructed with a number of lenses with ten refracting surfaces,or the nineteenth surface R19 through the twenty eighth surface R28arranged on a common optical axis. A twenty ninth surface R29 is theimage plane in which the image receiving surface of an image pickupdevice such as a CCD lies.

[0156] The present embodiment is to form a so-called 3-unit zoom lens.The stop R1 and the first optical element B1 constitute a first lensunit. The second optical element B2 constitutes a second lens unit. Thethird optical element B3 constitutes a third lens unit. Of these, thesecond and third lens units vary their relative positions to perform thefunction of varying the focal length.

[0157] Next, the image forming function is described on the assumptionthat an object is at infinity. A light beam passing through the stop R1,enters the first optical element B1 and is refracted by the secondsurface R2. Inside the first optical element B1, it is reflected fromthe successive surfaces R3 through R7. When exiting from the firstoptical element B1, the light beam is refracted by the eighth surfaceR8. During this time, the light beam is once focused to form anintermediate image in the neighborhood of the fourth surface R4.Further, a second image is formed in the space between the first andsecond optical elements B1 and B2.

[0158] The light beam then enters the second optical element B2, withinwhich it is refracted by all the surfaces R9 through R18 and then exitstherefrom. At this time, the principal ray of the light beam is focusedin the neighborhood of the eighteenth surface R18 to form a pupil.

[0159] Next, the light beam exiting from the second optical element B2enters the third optical element B3, within which it is refracted by allthe surfaces R19 through R28, and exits therefrom, reaching the twentyninth surface or plane R29 on which the final image is formed.

[0160] Next, the operation of varying the image magnification isdescribed. During zooming, the first optical element B1 remainsstationary. The second optical element B2 first moves to the plusdirection in the Z axis as zooming goes from the wide-angle end towardthe telephoto end, and then to the minus direction in the Z axis. Thethird optical element B3 moves to the plus direction in the Z axis, aszooming goes from the wide-angle end to the telephoto end. The imageplane or the twenty ninth surface R29 does not move during zooming.

[0161] By zooming from the wide-angle end to the telephoto end, theseparation between the first optical element B1 and the second opticalelement B2 first narrows and then widens, the separation between thesecond optical element B2 and the third optical element B3 narrows, andthe separation between the third optical element B3 and the image planeR29 widens. Also, the length of the optical path of the entire systembeginning with the first surface R1 and terminating at the image planeR29 is kept constant during zooming from the wide-angle end to thetelephoto end.

[0162] In the present embodiment, the entering and exiting referenceaxes of the first optical element B1 are parallel to each other andoriented to opposite directions. The second optical element B2 and thethird optical element B3 which perform the function of varying the imagemagnification have their reference axes in coincidence with the opticalaxes thereof, which are common with each other. The entering and exitingreference axes of each of the second and third optical elements B2 andB3 are oriented to the same direction.

[0163] The lateral aberrations of the zoom optical system of the presentembodiment are shown in the graphs of FIGS. 2, 3 and 4.

[0164] For the focusing purposes, the stop R1 and the first opticalelement B1 are moved in unison to the Z axis to suit to different objectdistances.

[0165] An advantage of the present embodiment arises from the facts thatthe stop R1 is disposed on the object side of the zoom optical systemand that two images of an object are formed in the interior of the firstoptical element B1 and behind the first optical element B1. By thisarrangement, the effective diameter of each of the surfaces of the firstoptical element B1 is shortened. This leads to minimize the dimension inthe X axis. The optical element of compact form is thus obtained.

[0166] Another advantage arises from the fact that the first opticalelement B1 is provided with a plurality of inner reflecting surfaceswhich are given proper refractive powers and arranged in decenteredrelation. This allows the optical path to be bent to a desired shapewithout having to mutilate the light beam in passing through the zoomoptical system. The total length in the Z direction is thus shortened.

[0167] Yet another advantage arising from the fact that the firstoptical element B1 has its reflecting surfaces formed on a rigidtransparent body is that the reflecting surfaces can be positioned in auniform tolerance (assembling tolerance) which greatly affects theoptical performance. The optical system thus little suffers any loss ofpositioning accuracy with aging.

[0168] Further, the zoom optical system is made up by employing twodifferent types of optical elements in good combination, one of whichhas a plurality of reflecting surfaces formed in unison and the other ofwhich is constructed with the coaxial refracting surfaces (coaxialoptical element). As compared with the case where the zoom opticalsystem is constructed only with the reflecting surfaces arranged indecentered relation, the produced amount of decentering aberrations ismore suppressed by having the coaxial optical element made to share therefractive power. The use of the optical element which is composed ofcoaxial refracting spherical surfaces facilitates the easiness ofcorrecting all aberrations.

[0169] Furthermore, such an optical element of coaxial refractingspherical surfaces is easy to manufacture.

[0170] (Embodiment 2)

[0171]FIG. 6 shows sectional views in the YZ plane of an embodiment 2 ofthe zoom optical system according to the invention. The presentembodiment is applied to the optical system for use in picking up animage and provides a 3-component zoom lens. The numerical data for thisembodiment are shown below. W M T Horizontal Semifield 20.3 13.9 7.0Vertical Semifield 26.3 18.2 9.3 Aperture Diameter 2.4 2.4 2.4 ImageSize in mm: (H × V) = 3.6 × 4.8 Optics Size at W: (X × Y × Z) = 8.8 ×77.9 × 15.6 i Yi Zi (W) θi Di Ndi νdi Sur.  1 0.00 0.00 0.00 2.25 1 StopFirst Optical Element B1:  2 0.00 2.25 0.00 6.75 1.51633 64.15 R  3 0.009.00 25.18 8.75 1.51633 64.15 L  4 −6.74 3.42 12.37 8.75 1.51633 64.15 L 5 −10.52 11.31 5.31 8.75 1.51633 64.15 L  6 −15.70 4.25 7.76 8.751.51633 64.15 L  7 −22.57 9.67 −27.54 9.00 1.51633 64.15 L  8 −22.050.68 −46.66 5.80 1.51633 64.15 L  9 −27.85 0.68 −90.00 Var. 1 R SecondOptical Element B2: 10 −38.92 0.68 −90.00 1.97 1.56873 63.16 R 11 −40.890.68 −90.00 0.10 1 R 12 −40.99 0.68 −90.00 1.68 1.62041 60.27 R 13−42.68 0.68 −90.00 0.10 1 R 14 −42.78 0.68 −90.00 1.99 1.62041 60.27 R15 −44.77 0.68 −90.00 0.10 1 R 16 −44.87 0.68 −90.00 2.36 1.62280 57.06R 17 −47.23 0.68 −90.00 0.10 1 R 18 −47.33 0.68 −90.00 0.50 1.7215129.24 R 19 −47.83 0.68 −90.00 Var. 1 R Third Optical Element B3: 20−60.21 0.68 −90.00 1.48 1.58913 61.18 R 21 −61.70 0.68 −90.00 0.10 1 R22 −61.80 0.68 −90.00 1.58 1.58913 61.18 R 23 −63.38 0.68 −90.00 0.10 1R 24 −63.48 0.68 −90.00 2.76 1.60729 59.37 R 25 −66.23 0.68 −90.00 3.201.75520 27.51 R 26 −69.43 0.68 −90.00 0.10 1 R 27 −69.53 0.68 −90.000.50 1.59551 39.28 R 28 −70.03 0.68 −90.00 Var. 1 R 29 −74.72 0.68−90.00 0.00 1 I.P. W M T D 9 11.07 4.69 6.29 D 19 12.38 8.74 1.44 D 284.69 14.71 20.42 R 1 + up to R 9: Yi (M) = Yi (W) Yi (T) = Yi (W) R 10 +up to R 19: Yi (M) = Yi (W) − 6.39 Yi (T) = Yi (W) − 4.78 R 20 + up to R28: Yi (M) = Yi (W) − 10.02 Yi (T) = Yi (W) − 15.73 R 29: Yi (M) = Yi(W) Yi (T) = Yi (W) Shape of Spherical Surface: R 2 Surface: R₂ = ∞ R 9Surface: R₉ = −14.692 R 10 Surface: R₁₀ = −15.785 R 11 Surface: R₁₁ =−9.916 R 12 Surface: R₁₂ = 806.578 R 13 Surface: R₁₃ = −19.136 R 14Surface: R₁₄ = 24.764 R 15 Surface: R₁₅ = −26.101 R 16 Surface: R₁₆ =7.532 R 17 Surface: R₁₇ = −123.778 R 18 Surface: R₁₈ = −52.093 R 19Surface: R₁₉ = 5.947 R 20 Surface: R₂₀ = 113.146 R 21 Surface: R₂₁ =−19.210 R 22 Surface: R₂₂ = 16.059 R 23 Surface: R₂₃ = −106.475 R 24Surface: R₂₄ = 16.367 R 25 Surface: R₂₅ = −7.880 R 26 Surface: R₂₆ =−23.891 R 27 Surface: R₂₇ = 6.381 R 28 Surface: R₂₈ = 5.013 Shape ofAspheric Surface: R 3: a = −3.59218e+01 b = −9.56407e+00 t = 2.62788e+01C₀₃ = −3.28591e-04 C_(21 = 1.09040e-04) C₀₄ =3.02002e-05 C₂₂ =7.33327e-05 C₄₀ = 7.31472e-05 R 4: a = −4.46438e+00 b = 7.31244e+00 t =1.05955e+01 C₀₃ =−8.43381e-04 C₂₁ = 1.15148e-04 C₀₄ = 4.92526e-04 C₂₂ =−1.32799e-03 C₄₀ = −3.91919e-04 R 5: a = −1.27855e+01 b = −2.36243e+01 t= 1.82299e+01 C₀₃ = 49533e-05 C₂₁ = 4.24795e-05 C₀₄ = −2.72263e-05 C₂₂ =−1.26579e-04 C₄₀ = −1.65426e-04 R 6: a = −9.17197e+00 b = −4.60643e+01 t= 1.12831e+01 C₀₃ = 8.58718e-05 C₂₁ = −8.69345e-04 C₀₄ = −3.09227e-04C₂₂ = −9.83897e-04 C₄₀ = −1.26913e-03 R 7: a = −1.38671e+01 b =−2.68360e+01 t = 1.28619e+01 C₀₃ = −1.27138e-05 C₂₁ = −3.07799e-04 C₀₄ =−8.55028e-06 C₂₂ = −5.67380e-05 C₄₀ = −8.71918e-05 R 8: a = −7.36361e+01b = 5.55994e+01 t = 7.05431e+01 C₀₃ = −1.26030e-04 C₂₁ = 1.97414e-03 C₀₄= 2.06017e-05 C₂₂ = −2.60272e-05 C₄₀ = −3.06310e-04

[0172] In FIG. 6, the first surface R1 is a stop that is the entrancepupil. A first optical element B1 is constructed with a second surfaceR2 (refracting entrance surface), six curved inner reflecting surfacesR3 through R8 and a ninth surface R9 (refracting exit surface) arrangedon one block. A second optical element B2 is constructed with a numberof lenses with ten coaxial refracting surfaces R10 through R19. A thirdoptical element B3 is constructed with a number of lenses with ninecoaxial refracting surfaces R20 through R28. A twenty ninth surface R29is the image plane coincident with the image receiving surface of animage pickup device such as a CCD.

[0173] The present embodiment is to provide a so-called 3-unit zoomlens. The stop R1 and the first optical element B1 constitute a firstlens unit. The second optical element B2 constitutes a second lens unit.The third optical element B3 constitutes a third lens unit. Of these,the second and third lens units constitute a zoom section and move indifferential relation to vary the focal length.

[0174] Next, the function of forming an image with an object at infinityis described. A light beam that has passed through the stop R1 entersthe first optical element B1. In the interior of the first opticalelement B1, the light beam is refracted by the second surface R2, thenreflected from the third surface R3, the fourth surface R4, the fifthsurface R5, the sixth surface R6, the seventh surface R7 and the eighthsurface R8 and then refracted by the ninth surface R9, exiting from thefirst optical element B1. During this time, the light beam is oncefocused to form an intermediate image in the neighborhood of the fourthsurface R4. Further, a second image is formed in the space between thefirst optical element B1 and the second optical element B2.

[0175] The light beam then enters the second optical element B2. In theinterior of the second optical element B2, the light beam is refractedby the surfaces R10 through R19 and then exits therefrom. At this time,the principal ray of the light beam is focused behind the nineteenthsurface R19 to form a pupil.

[0176] Next, the light beam that has exited from the second opticalelement B2 enters the third optical element B3. In the interior of thethird optical element B3, the light beam is refracted by the surfacesR20 through R28, and exits therefrom, reaching the twenty ninth surfaceor plane R29 on which a final image is formed.

[0177] Next, the operation of varying the image magnification isdescribed. The first optical element B1 remains stationary duringzooming. The second optical element B2 first moves to the plus directionin the Y axis as zooming goes from the wide-angle end toward thetelephoto end, and then to the minus direction in the Y axis. The thirdoptical element B3 simultaneously moves to the plus direction in the Yaxis. The image plane or the twenty ninth surface R29 does not moveduring zooming.

[0178] By zooming from the wide-angle end to the telephoto end, theseparation between the first optical element B1 and the second opticalelement B2 first narrows and then widens, the separation between thesecond optical element B2 and the third optical element B3 narrows, andthe separation between the third optical element B3 and the image planeR29 widens. Also, the length of the optical path of the entire systemfrom the first surface R1 to the image plane R29 is kept constantthroughout the entire zooming range.

[0179] In the present embodiment, the entering and exiting referenceaxes of the first optical element B1 make an angle of 90° with eachother. The second optical element B2 and the third optical element B3which perform the function of varying the image magnification have theirreference axes in coincidence with the optical axes thereof, which arecommon with each other. The entering and exiting reference axes of eachof the second and third optical elements B2 and B3 are oriented to thesame direction.

[0180] The lateral aberrations of the zoom optical system of the presentembodiment are shown in the graphs of FIGS. 7, 8 and 9.

[0181] For the focusing purposes, the stop R1 and the first opticalelement B1 are moved in unison to the Y axis to suit to different objectdistances.

[0182] An advantage of the present embodiment arises from the facts thatthe stop R1 is disposed don the object side of the zoom optical systemand that two images of an object are formed in the interior of the firstoptical element B1 and behind the first optical element B1. By thisarrangement, the effective diameter of each of the surfaces of the firstoptical element B1 is shortened. This leads to minimize the dimension inthe X axis. The optical element of compact form is thus obtained.

[0183] Another advantage arises from the fact that the first opticalelement B1 is provided with a plurality of inner reflecting surfaceswhich are given proper refractive powers and arranged in decenteredrelation. This allows the optical path to be bent to a desired shapewithout having to mutilate the light beam in passing through the zoomoptical system. The total length in the Z direction is thus shortened.

[0184] Yet another advantage arising from the fact that the firstoptical element B1 has its reflecting surfaces formed on a rigidtransparent body is that the reflecting surfaces can be positioned in auniform tolerance (assembling tolerance) which greatly affects theoptical performance. The optical system thus little suffers any loss ofpositioning accuracy with aging.

[0185] Further, the zoom optical system is made up by employing twodifferent types of optical elements in good combination, one of whichhas a plurality of reflecting surfaces formed in unison and the other ofwhich is constructed with the coaxial refracting surfaces (coaxialoptical element). As compared with the case where the zoom opticalsystem is constructed only with the reflecting surfaces arranged indecentered relation, the produced amount of decentering aberrations ismore suppressed by having the coaxial optical element made to share therefractive power. The use of the optical element which is composed ofcoaxial refracting spherical surfaces facilitates the easiness ofcorrecting all aberrations.

[0186] Furthermore, such an optical element of coaxial refractingspherical surfaces is easy to manufacture.

[0187] (Embodiment 3)

[0188]FIG. 10 shows sectional views in the YZ plane of an embodiment 3of the zoom optical system according to the invention. This embodimentis applied to the optical system for use in picking up an image andprovides a 3-component zoom lens whose range is about 3. The numericaldata for this lens are shown below. W N T Horizontal Semifield 26.3 18.29.3 Vertical Semifield 20.3 13.9 7.0 Aperture Diameter 2.5 2.5 2.5 ImageSize in mm: (H × V) = 4.8 × 3.6 Optics Size at W: (X × Y × Z) = 11.8 ×41.2 × 55.7 i Yi Zi (W) θi Di Ndi νdi Sur.  1 0.00 0.00 0.00 5.12 1 StopFirst Optical Element B1:  2 0.00 5.12 0.00 7.50 1.58310 30.20 R  3 0.0012.62 25.00 11.00 1.58310 30.20 L  4 −8.43 5.55 3.29 10.00 1.58310 30.20L  5 −15.30 12.82 −15.05 9.50 1.58310 30.20 L  6 −17.49 3.57 −13.4210.00 1.58310 30.20 L  7 −23.94 11.22 2.15 10.00 1.58310 30.20 L  8−30.94 4.08 22.22 7.99 1.58310 30.20 L  9 −30.94 12.06 0.00 Var. 1 RSecond Optical Element B2: 10 −30.94 27.17 0.00 1.97 1.56873 63.16 R 11−30.94 29.15 0.00 0.10 1 R 12 −30.94 29.25 0.00 1.68 1.62041 60.27 R 13−30.94 30.93 0.00 0.10 1 R 14 −30.94 31.03 0.00 1.99 1.62041 60.27 R 15−30.94 33.02 0.00 0.10 1 R 16 −30.94 33.12 0.00 2.36 1.62280 57.06 R 17−30.94 35.48 0.00 0.10 1 R 18 −30.94 35.58 0.00 0.50 1.72151 29.24 R 19−30.94 36.08 0.00 Var. 1 R Third Optical Element B3: 20 −30.94 48.800.00 1.48 1.58913 61.18 R 21 −30.94 50.28 0.00 0.10 1 R 22 −30.94 50.380.00 1.58 1.58913 61.18 R 23 −30.94 51.96 0.00 0.10 1 R 24 −30.94 52.060.00 2.76 1.60729 59.37 R 25 −30.94 54.82 0.00 3.20 1.75520 27.51 R 26−30.94 58.02 0.00 0.10 1 R 27 −30.94 58.12 0.00 0.50 1.59551 39.28 R 28−30.94 58.62 0.00 Var. 1 R 29 −30.94 61.58 0.00 0.00 1 I.P. W N T D 915.11 4.81 6.79 D 19 12.71 10.22 3.53 D 28 2.96 15.75 20.46 R1 + up to R9: Zi (M) = Zi (W) Zi (T) = Zi (W) R10 + up to R 19: Zi (M) = Zi (W) −10.30 Zi (T) = Zi (W) − 8.32 R20 + up to R 28: Zi (M) = Zi (W) − 12.79Zi (T) = Zi (W) − 17.50 R29: Zi (M) = Zi (W) Zi (T) = Zi (W) Shape ofSpherical Surface: R2 Surface: R₂ = −9.470 R 9 Surface: R₉ = 12.397 R 10Surface: R₁₀ = −18.096 R 11 Surface: R₁₁ = −12.488 R 12 Surface: R₁₂ =−22.656 R 13 Surface: R₁₃ = −11.326 R 14 Surface: R₁₄ = 39.448 R 15Surface: R₁₅ = −16.896 R 16 Surface: R₁₆ = 7.231 R 17 Surface: R₁₇ =−53.267 R 18 Surface: R₁₈ = −29.796 R 19 Surface: R₁₉ = 6.222 R 20Surface: R₂₀ = −103.294 R 21 Surface: R₂₁ = −13.173 R 22 Surface: R₂₂ =21.609 R 23 Surface: R₂₃ = −56.334 R 24 Surface: R₂₄ = 19.368 R 25Surface: R₂₅ = −9.154 R 26 Surface: R₂₆ = −35.784 R 27 Surface: R₂₇ =7.883 R 28 Surface: R₂₈ = 7.084 Shape of Aspheric Surface: R 3: a =−1.29771e+01 b = −1.91952e+01 t = 2.50000e+01 C₀₃ = 2.25585e−05 C₂₁ =−2.14047e−04 C₀₄ = 2.44891e−08 C₂₂ = −2.05123e−05 C₄₀ = 1.18194e−05 R 4:a = −1.29087e+01 b = −8.14895e+00 t = −4.67120e+01 C₀₃ = −5.33084e−04C₂₁ = 1.13391e−03 C₀₄ = −2.45084e−06 C₂₂ = −2.01069e−04 C₄₀ =1.53466e−03 R 5: a = −1.83631e+01 b = −2.14773e+01 t = 2.83707e+01 C₀₃ =3.66045e−05 C₂₁ = 2.04110e−04 C₀₄ = −4.32368e−07 C₂₂ = −8.35352e−06 C₄₀= 1.98574e−05 R 6: a = −1.86729e+00 b = 1.86042e+00 t = −2.67346e+01 C₀₃= 1.77221e−04 C₂₁ = 7.97292e−04 C₀₄ = 1.31000e−05 C₂₂ = −4.24244e−05 C₄₀= 4.17627e−05 R 7: a = 6.95459e+00 b = −9.77460e+00 t = 4.22976e+01 C₀₃= 1.48091e−04 C₂₁ = 1.42273e−03 C₀₄ = 2.36193e−05 C₂₂ = 4.19020e−05 C₄₀= 1.80643e−04 R 8: a = 2.61262e+01 b = 1.59224e+01 t = −22.2220e+01 C₀₃= 4.14325e−05 C₂₁ = 4.47240e−04 C₀₄ = 3.20699e−06 C₂₂ = −3.07287e−05 C₄₀= 1.58223e−05

[0189] Image Size in mm: (H×V)=4.8×3.6

[0190] Optics Size at W: (X×Y×Z)=11.8×41.2×55.7 i Yi Zi (W) θi Di Ndiνdi Sur.  1 0.00 0.00 0.00 5.12 1 Stop First Optical Element B1:  2 0.005.12 0.00 7.50 1.53310 30.20 R  3 0.00 12.62 25.00 11.00 1.58310 30.20 L 4 −8.43 5.55 3.29 10.00 1.58310 30.20 L  5 −15.30 12.82 −15.05 9.501.58310 30.20 L  6 −17.49 3.57 −13.42 10.00 1.58310 30.20 L  7 −23.9411.22 2.15 10.00 1.58310 30.20 L  8 −30.94 4.08 22.22 7.99 1.58310 30.20L  9 −30.94 12.06 0.00 Var. 1 R Second Optical Element B2: 10 −30.9427.17 0.00 1.97 1.56873 63.16 R 11 −30.94 29.15 0.00 0.10 1 R 12 −30.9429.25 0.00 1.68 1.62041 60.27 R 13 −30.94 30.93 0.00 0.10 1 R 14 −30.9431.03 0.00 1.99 1.62041 60.27 R 15 −30.94 33.02 0.00 0.10 1 R 16 −30.9433.12 0.00 2.36 1.62280 57.06 R 17 −30.94 35.48 0.00 0.10 1 R 18 −30.9435.58 0.00 0.50 1.72151 29.24 R 19 −30.94 36.08 0.00 Var. 1 R ThirdOptical Element B3: 20 −30.94 48.80 0.00 1.48 1.58913 61.18 R 21 −30.9450.28 0.00 0.10 1 R 22 −30.94 50.38 0.00 1.58 1.58913 61.18 R 23 −30.9451.96 0.00 0.10 1 R 24 −30.94 52.06 0.00 2.76 1.60729 59.37 R 25 −30.9454.82 0.00 3.20 1.75520 27.51 R 26 −30.94 58.02 0.00 0.10 1 R 27 −30.9458.12 0.00 0.50 1.59551 39.28 R 28 −30.94 58.62 0.00 Var. 1 R 29 −30.9461.58 0.00 0.00 1 I.P.

[0191] W M T D9 15.11 4.81 6.79 D19 12.71 10.22 3.53 D28 2.96 15.7520.46

[0192] R 1 + up to R 9: Zi (M) = Zi (W) Zi (T) = Zi (W) R10 + up to R19:Zi (M) = Zi (W) − 10.30 Zi (T) = Zi (W) − 8.32 R20 + up to R28: Zi (M) =Zi (W) − 12.79 Zi (T) = Zi (W) − 17.50 R29: Zi (M) = Zi (W) Zi (T) = Zi(W)

[0193] Shape of Spherical Surface: R 2 Surface: R₂ = −9.470 R 9 Surface:R₉ = 12.397 R10 Surface: R₁₀ = −18.096 R11 Surface: R₁₁ = −12.488 R12Surface: R₁₂ = −22.656 R13 Surface: R₁₃ = −11.326 R14 Surface: R₁₄ =39.448 R15 Surface: R₁₅ = −16.896 R16 Surface: R₁₆ = 7.231 R17 Surface:R₁₇ = −53.267 R18 Surface: R₁₈ = −29.796 R19 Surface: R₁₉ = 6.222 R20Surface: R₂₀ = −103.294 R21 Surface: R₂₁ = −13.173 R22 Surface: R₂₂ =21.609 R23 Surface: R₂₃ = −56.334 R24 Surface: R₂₄ = 19.368 R25 Surface:R₂₅ = −9.154 R26 Surface: R₂₆ = −35.784 R27 Surface: R₂₇ = 7.883 R28Surface: R₂₈ = 7.084

[0194] Shape of Aspheric Surface: R 3: a = −1.29771e+01 b = −1.91952e+01t = 2.50000e+01 C₀₃ = 2.25585e−05 C₂₁ = −2.14047e−04 C₀₄ = 2.44891e−08C₂₂ = −2.05123e−05 C₄₀ = 1.18194e−05 R 4: a = −1.29087e+01 b =−8.14895e+00 t = −4.67120e+01 C₀₃ = −5.33084e−04 C₂₁ = 1.13391e−03 C₀₄ =−2.45084e−06 C₂₂ = −2.01069e−04 C₄₀ = 1.53466e−03 R 5: a = −1.83631e+01b = −2.14773e+01 t = 2.83707e+01 C₀₃ = 3.66045e−05 C₂₁ = 2.04110e−04 C₀₄= −4.32368e−07 C₂₂ = −8.35352e−06 C₄₀ = 1.98574e−05 R 6: a =−1.86729e+00 b = 1.86042e+00 t = −2.67346e+01 C₀₃ = 1.77221e−04 C₂₁ =7.97292e−04 C₀₄ = −1.31000e−05 C₂₂ = −4.24244e−05 C₄₀ = 4.17627e−05 R 7:a = 6.95459e+00 b = −9.77460e+00 t = 4.22976e+01 C₀₃ = 1.48091e−04 C₂₁ =1.42273e−03 C₀₄ = 2.36193e−05 C₂₂ = 4.19020e−05 C₄₀ = 1.80643e−04 R 8: a= 2.61262e+01 b = 1.59224e+01 t = −22.2220e+01 C₀₃ = 4.14325e−05 C₂₁ =4.47240e−04 C₀₄ = 3.20699e−06 C₂₂ = −3.07287e−05 C₄₀ = 1.58223e−05

[0195] In FIG. 10, the first surface R1 is a stop that is the entrancepupil. A first optical element B1 is constructed with a second surfaceR2 (refracting entrance surface), six curved inner reflecting surfacesR3 through R8 and a ninth surface R9 (refracting exit surface) arrangedon one block. A second optical element B2 is constructed with a numberof lenses with ten coaxial refracting surfaces R10 through R19. A thirdoptical element B3 is constructed with a number of lenses with ninecoaxial refracting surfaces R20 through R28. A twenty ninth surface R29is the image plane coincident with the image receiving surface of animage pickup device such as a CCD.

[0196] The present embodiment provides a so-called 3-unit zoom lens. Thestop R1 and the first optical element B1 constitute a first lens unit.The second optical element B2 constitutes a second lens unit. The thirdoptical element B3 constitutes a third lens unit. Of these, the secondand third lens units constitute a zoom section and move in differentialrelation to vary the focal length.

[0197] Next, the function of forming an image with an object at infinityis described. A light beam that has passed through the stop R1 entersthe first optical element B1. In the interior of the first opticalelement B1, the light beam is refracted by the second surface R2, thenreflected from the third surface R3, the fourth surface R4, the fifthsurface R5, the sixth surface R6, the seventh surface R7 and the eighthsurface R8 and then refracted by the ninth surface R9, exiting from thefirst optical element B1. During this time, the light beam is oncefocused to form an intermediate image in the neighborhood of the fourthsurface R4. Further, a second image is formed in the space between thefirst optical element B1 and the second optical element B2.

[0198] The light beam then enters the second optical element B2. In theinterior of the second optical element B2, the light beam is refractedby the surfaces R10 through R19 and then exits therefrom. At this time,the principal ray of the light beam is focused behind the nineteenthsurface R19 to form a pupil.

[0199] Next, the light beam that has exited from the second opticalelement B2 enters the third optical element B3. In the interior of thethird optical element B3, the light beam is refracted by the surfacesR20 through R28, and exits therefrom, reaching the twenty ninth surfaceor plane R29 on which the final image is formed.

[0200] Next, the operation of varying the image magnification isdescribed. The first optical element B1 remains stationary duringzooming. The second optical element B2 first moves to the minusdirection in the Z axis as zooming goes from the wide-angle end towardthe telephoto end, and then to the plus direction in the Z axis. Thethird optical element B3 simultaneously moves to the minus direction inthe Z axis. The image plane or the twenty ninth surface R29 does notmove during zooming.

[0201] By zooming from the wide-angle end to the telephoto end, theseparation between the first optical element B1 and the second opticalelement B2 first narrows and then widens, the separation between thesecond optical element B2 and the third optical element B3 narrows, andthe separation between the third optical element B3 and the image planeR29 widens. Also, the length of the optical path of the entire systemfrom the first surface R1 to the image plane R29 is kept constantthroughout the entire zooming range.

[0202] In the present embodiment, the entering and exiting referenceaxes of the first optical element B1 are parallel with each other andoriented to the same direction. The second optical element B2 and thethird optical element B3 which perform the function of varying the imagemagnification have their reference axes in coincidence with the opticalaxes thereof, which are common with each other. The entering and exitingreference axes of each of the second and third optical elements B2 andB3 are oriented to the same direction.

[0203] The lateral aberrations of the zoom optical system of the presentembodiment are shown in the graphs of FIGS. 11, 12 and 13.

[0204] For the focusing purposes, the stop R1 and the first opticalelement B1 are moved in unison to the Z axis to suit to different objectdistances.

[0205] An advantage of the present embodiment arises from the facts thatthe stop R1 is disposed on the object side of the zoom optical systemand that two images of an object are formed in the interior of the firstoptical element B1 and behind the first optical element B1. By thisarrangement, the effective diameter of each of the surfaces of the firstoptical element B1 is shortened. This leads to minimize the dimension inthe X axis. The optical element of compact form is thus obtained.

[0206] Another advantage arises from the fact that the first opticalelement B1 is provided with a plurality of inner reflecting surfaceswhich are given proper refractive powers and arranged in decenteredrelation. This allows the optical path to be bent to a desired shapewithout having to mutilate the light beam in passing through the zoomoptical system. The total length in the Z direction is thus shortened.

[0207] Yet another advantage arising from the fact that the firstoptical element B1 has its reflecting surfaces formed on a rigidtransparent body is that the reflecting surfaces can be positioned in auniform tolerance (assembling tolerance) which greatly affects theoptical performance. The optical system thus little suffers any loss ofpositioning accuracy with aging.

[0208] Further, the zoom optical system is made up by employing twodifferent types of optical elements in good combination, one of whichhas a plurality of reflecting surfaces formed in unison and the other ofwhich is constructed with the coaxial refracting surfaces (coaxialoptical element). As compared with the case where the zoom opticalsystem is constructed only with the reflecting surfaces arranged indecentered relation, the produced amount of decentering aberrations ismore suppressed by having the coaxial optical element made to share therefractive power. The use of the optical element which is composed ofcoaxial refracting spherical surfaces facilitates the easiness ofcorrecting all aberrations.

[0209] Furthermore, such an optical element of coaxial refractingspherical surfaces is easy to manufacture.

[0210] Although the foregoing embodiments have been described inconnection with the optical element of reflecting surfaces on the oneblock which is fixed and the coaxial parts which move to effect zooming,variations may be made by fixing the coaxial parts and moving theoptical element of reflecting surfaces on the one block to effectzooming. An example of such a variation is described below.

[0211] (Embodiment 4)

[0212]FIG. 14 shows sectional views in the YZ plane of an embodiment 4of the zoom optical system according to the invention. This embodimentis applied to the optical system for use in picking up an image andprovides a 3-component zoom lens whose range is about 3. The numericaldata for this lens are shown below. W M T Horizontal Semifield 26.0 18.09.2 Vertical Semifield 20.0 13.6 6.9 Aperture Diameter 2.0 2.5 3.6 ImageSize in mm: (H × V) = 4.8 × 3.6 Optics Size at W: (X × Y × Z) = 13.6 ×95.6 × 36.9 i Yi Zi (W) θi Di Ndi νdi Sur. First Optical Element B1:  10.00 0.00 0.00 1.00 1.49700 81.61 R  2 0.00 1.00 0.00 3.00 1 R  3 0.004.00 0.00 Var. 1 Stop Second Optical Element B2:  4 0.00 6.00 0.00 13.001.58312 59.37 R  5 0.00 19.00 34.00 9.00 1.58312 59.37 L  6 −8.34 15.6319.00 9.00 1.58312 59.37 L  7 −12.84 23.42 0.00 9.00 1.58312 59.37 L  8−17.34 15.63 −15.00 9.00 1.58312 59.37 L  9 −25.14 20.13 −30.00 12.001.58312 59.37 L 10 −25.14 8.13 0.00 0.00 1 R Third Optical Element B3:10′ −25.14 8.13 0.00 2.00 1.67032 32.07 R 11 −25.14 6.13 0.00 Var. 1 RFourth Optical Element B4: 12 −25.14 −2.03 0.00 7.00 1.58313 59.37 R 13−25.14 −9.03 −32.00 12.00 1.58313 59.37 L 14 −35.92 −3.77 −14.00 12.001.58313 59.37 L 15 −42.98 −13.48 0.00 12.00 1.58313 59.37 L 16 −50.03−3.77 14.00 12.00 1.58313 59.37 L 17 −60.82 −9.03 32.00 7.00 1.5811359.37 L 18 −60.82 −1.03 0.00 Var. 1 R Fifth Optical Element B5: 19−60.82 5.03 0.00 8.00 1.58313 59.37 R 20 −60.82 13.03 30.00 10.001.58313 59.37 L 21 −69.48 8.03 15.00 10.00 1.58313 59.37 L 22 −74.4816.69 0.00 10.00 1.58313 59.37 L 23 −79.48 8.03 −15.00 10.00 1.5831359.37 L 24 −88.14 13.03 −30.00 8.00 1.58313 59.37 L 25 −88.14 5.03  0.00 Var. 1 R 26 −88.14 −6.32   0.00 1.80 1 I.P. W M T D 3 2.00 2.002.00 D 11 8.16 5.68 3.02 D 18 6.06 6.32 12.24 D 25 11.35 14.09 22.67 R1 + up to R 11: Zi (M) = Zi (W) Zi (T) = Zi (W) R 12 + up to R 18: Zi(M) = Zi (W) + 2.48 Zi (T) = Zi (W) + 5.14 R 19 + up to R 25: Zi (M) =Zi (W) + 2.74 Zi (T) = Zi (W) + 11.32 R 26: Zi (M) = Zi (W) Zi (T) = Zi(W) Shape of Spherical Surface: R1 Surface: R₁ = ∞ R2 Surface: R₂ =10.000 R4 Surface: R₄ = 10.000 R10 Surface: R₁₀ = −3.796 R11 Surface:R₁₁ = 113.237 R12 Surface: R₁₂ = 96.928 R18 Surface: R₁₈ = 10.281 R19Surface: R₁₉ = −68.222 R25 Surface: R₂₅ = ∞ Shape of Aspheric Surface: R5: a = ∞ b = ∞ t = 0. C₀₂ = −2.77957e−02 C₂₀ = −3.61721e−02 C₀₃ =2.17709e−04 C₂₁ = 8.17518e−04 C₀₄ = 4.81535e−05 C₂₂ = −2.24283e−04 C₄₀ =−5.50769e−05 R 6: a = ∞ b = ∞ t = 0. C₀₂ = −2 07844e−03 C₂₀ =−3.13275e−02 C₀₃ = −1.20110e−03 C₂₁ = −7.31324e−03 C₀₄ = 1.45746e−04 C₂₂= −9.98634e−04 C₄₀ = −2.62001e−04 R 7: a = ∞ b = ∞ t = 0. C₀₂ =−2.65330e−02 C₂₀ = −4.37591e−02 C₀₃ = 2.37808e−06 C₂₁ = −9.02645e−06 C₀₄= 1.21344e−05 C₂₂ = −8.82376e−05 C₄₀ = −9.77118e−05 R 8: a = ∞ b = ∞ t =0. C₀₂ = −5.49968e−03 C₂₀ = −5.00091e−02 C₀₃ = 1.23568e−03 C₂₁ =6.67246e−03 C₀₄ = −5.38006e−05 C₂₂ = −3.35556e−04 C₄₀ = −3.23857e−04 R9: a = ∞ b = ∞ t = 0. C₀₂ = −1.86844e−02 C₂₀ = −3.77602e−02 C₀₃ =4.19348e−04 C₂₁ = 6.72125e−04 C₀₄ = −6.12034e−05 C₂₂ = 3.47535e−05 C₄₀ =−5.09619e−05 R 13: a = ∞ b = ∞ t = 0. C₀₂ = 2.26678e−02 C₂₀ =2.41426e−02 C₀₃ = −2.57750e−04 C₂₁ = 1.16383e−03 C₀₄ = −2.40426e−05 C₂₂= −7.46204e−05 C₄₀ = 2.82412e−05 R 14: a = ∞ b = ∞ t = 0. C₀₂ =4.00972e−03 C₂₀ = 7.14507e−03 C₀₃ = −4.46529e−04 C₂₁ = −2.31087e−03 C₀₄= −2.56127e−05 C₂₂ = −1.36947e−04 C₄₀ = −1.25987e−04 R 15: a = ∞ b = ∞ t= 0. C₀₂ = 1.41059e−02 C₂₀ = 2.96468e−02 C₀₃ = 8.17957e−05 C₂₁ =9.43233e−04 C₀₄ = −1.06545e−05 C₂₂ = −2.82343e−05 C₄₀ = 4.45663e−05 R16: a = ∞ b = ∞ t = 0. C₀₂ = 8.51071e−05 C₂₀ = 2.53915e−02 C₀₃ =1.68362e−04 C₂₁ = 3.65939e−03 C₀₄ = 1.08096e−06 C₂₂ = 1.80358e−04 C₄₀ =9.97536e−05 R 17: a = ∞ b = ∞ t = 0. C₀₂ = 1.32874e−02 C₂₀ = 2.94218e−02C₀₃ = −6.81885e−05 C₂₁ = 9.64816e−04 C₀₄ = 1.70534e−05 C₂₂ = 4.93143e−05C₄₀ = −1.51564e−06 R 20: a = ∞ b = ∞ t = 0. C₀₂ = 1.66195e−02 C₂₀ =−1.97204e−02 C₀₃ = −2.82112e−04 C₂₁ = 8.70403e−05 C₀₄ = −3.71423e−06 C₂₂= −7.20107e−06 C₄₀ = −6.70241e−06 R 21: a = ∞ b = ∞ t = 0. C₀₂ =−2.13470e−02 C₂₀ = −2.68230e−02 C₀₃ = −7.85470e−04 C₂₁ = 4.61286e−03 C₀₄= −1.61086e−04 C₂₂ = −1.96712e−05 C₄₀ = −6.34362e−05 R 22: a = ∞ b = ∞ t= 0. C₀₂ = −2.30872e−02 C₂₀ = −2.69354e−02 C₀₃ = −3.03473e−06 C₂₁ =1.13297e−03 C₀₄ = −3.08514e−05 C₂₂ = 5.26162e−05 C₄₀ = 3.43593e−05 R 23:a = ∞ b = ∞ t = 0. C₀₂ = −2.42460e−02 C₂₀ = −4.51798e−02 C₀₃ =3.73285e−04 C₂₁ = 4.33871e−03 C₀₄ = −1.89172e−04 C₂₂ = 1.70543e−04 C₄₀ =3.82206e−06 R 24: a = ∞ b = ∞ t = 0. C₀₂ = 1.92202e−02 C₂₀ =−2.60605e−02 C₀₃ = 1.04217e−04 C₂₁ = 3.77042e−04 C₀₄ = 1.55696e−05 C₂₂ =−2.50258e−05 C₄₀ = −2.42690e−05

[0213] Image Size in mm: (H×V)=4.8×3.6

[0214] Optics Size at W: (X×Y×Z)=13.6×95.6×36.9 i Yi Zi (W) θi Di Ndiνdi Sur. First Optical Element B1:  1 0.00 0.00 0.00 1.00 1.49700 81.61R  2 0.00 1.00 0.00 3.00 1 R  3 0.00 4.00 0.00 Var. 1 Stop SecondOptical Element B2:  4 0.00 6.00 0.00 13.00 1.58312 59.37 R  5 0.0019.00 34.00 9.00 1.58312 59.37 L  6 −8.34 15.63 19.00 9.00 1.58312 59.37L  7 −12.84 23.42 0.00 9.00 1.58312 59.37 L  8 −17.34 15.63 −15.00 9.001.58312 59.37 L  9 −25.14 20.13 −30.00 12.00 1.58312 59.37 L 10 −25.148.13 0.00 0.00 1 R Third Optical Element B3: 10 −25.14 8.13 0.00 2.001.67032 32.07 R 11 −25.14 6.13 0.00 Var. 1 R Fourth Optical Element B4:12 −25.14 −2.03 0.00 7.00 1.58313 59.37 R 13 −25.14 −9.03 −32.00 12.001.58313 59.37 L 14 −35.92 −3.77 −14.00 12.00 1.58313 59.37 L 15 −42.98−13.48 0.00 12.00 1.58313 59.37 L 16 −50.03 −3.77 14.00 12.00 1.5831359.37 L 17 −60.82 −9.03 32.00 7.00 1.58113 59.37 L 18 −60.82 −1.03 0.00Var. 1 R Fifth Optical Element B5: 19 −60.82 5.03 0.00 8.00 1.5831359.37 R 20 −60.82 13.03 30.00 10.00 1.58313 59.37 L 21 −69.48 8.03 15.0010.00 1.58313 59.37 L 22 −74.48 16.69 0.00 10.00 1.58313 59.37 L 23−79.48 8.03 −15.00 10.00 1.58313 59.37 L 24 −88.14 13.03 −30.00 8.001.58313 59.37 L 25 −88.14 5.03 0.00 Var. 1 R 26 −88.14 −6.32 0.00 1.80 1I.P

[0215] W M T D 3 2.00 2.00 2.00 D11 8.16 5.68 3.02 D18 6.06 6.32 12.24D25 11.35 14.09 22.67

[0216] R 1 + up to R11: Zi (M) = Zi (W) Zi (T) = Zi (W) R12 + up to R18:Zi (M) = Zi (W) + 2.48 Zi (T) = Zi (W) + 5.14 R19 + up to R25: Zi (M) =Zi (W) + 2.74 Zi (T) = Zi (W) + 11.32 R26: Zi (M) = Zi (W) Zi (T) = Zi(W)

[0217] Shape of Spherical Surface: R 1 Surface: R₁ = ∞ R 2 Surface: R₂ =10.000 R 4 Surface: R₄ = 10.000 R10 Surface: R₁₀ = −3.796 R11 Surface:R₁₁ = 113.237 R12 Surface: R₁₂ = 96.928 R18 Surface: R₁₈ = 10.281 R19Surface: R₁₉ = −68.222 R25 Surface: R₂₅ = ∞

[0218] Shape of Aspheric Surface: R 5: a = ∞ b = ∞ t = 0. C₀₂ =−2.77957e-02 C₂₀ = −3.61721e-02 C₀₃ = 2.17709e-04 C₂₀ = 8.17518e-04 C₀₄= 4.81535e-05 C₂₀ = −2.24283e-04 C₄₀ = −5.50769e-05 R 6: a = ∞ b = ∞ t =0. C₀₂ = −2.07844e-03 C₂₀ = −3.13275e-02 C₀₃ = −1.20110e-03 C₂₁ =−7.31324e-03 C₀₄ = −1.45746e-04 C₂₂ = −9.98634e-04 C₄₀ = −2.62001e-04 R7: a = ∞ b = ∞ t = 0. C₀₂ = −2.65330e-02 C₂₀ = −4.37591e-02 C₀₃ =2.37808e-06 C₂₁ = −9.02645e-06 C₀₄ = −1.21344e-05 C₂₂ = −8.32376e-05 C₄₀= −9.77118e-05 R 8: a = ∞ b = ∞ t = 0. C₀₂ = −5.49963e-03 C₂₀ =−5.00091e-02 C₀₃ = 1.23568e-03 C₂₁ = 6.67246e-03 C₀₄ = −5.38006e-05 C₂₂= −3.35556e-04 C₄₀ = −3.23857e-04 R 9: a = ∞ b = ∞ t = 0. C₀₂ =−1.86844e-02 C₂₀ = −3.77602e-02 C₀₃ = 4.19348e-04 C₂₁ = 6.72125e-04 C₀₄= −6.12034e-05 C₂₂ = 3.47535e-05 C₄₀ = −5.09619e-05 R13: a = ∞ b = ∞ t =0. C₀₂ = 2.26678e-02 C₂₀ = 2.41426e-02 C₀₃ = −2.57750e-04 C₂₁ =1.16383e-03 C₀₄ = −2.40426e-05 C₂₂ = −7.46204e-05 C₄₀ = 2.82412e-05 R14:a = ∞ b = ∞ t = 0. C₀₂ = −4.00972e-03 C₂₀ = 7.14507e-03 C₀₃ =−4.46529e-04 C₂₁ = −2.31037e-03 C₀₄ = −2.56127e-05 C₂₂ = −1.36947e-04C₄₀ = −1.25987e-04 R15: a = ∞ b = ∞ t = 0. C₀₂ = 1.41059e-02 C₂₀ =2.96468e-02 C₀₃ = −8.17957e-05 C₂₁ = 9.43233e-04 C₀₄ = −1.06545e-05 C₂₂= −2.82343e-05 C₄₀ = 4.45663e-05 R16: a = ∞ b = ∞ t = 0. C₀₂ =−8.51071e-05 C₂₀ = 2.53915e-02 C₀₃ = 1.68362e-04 C₂₁ = 3.65939e-03 C₀₄ =1.08096e-06 C₂₂ = 1.80358e-04 C₄₀ = 9.97536e-05 R17: a = ∞ b = ∞ t = 0.C₀₂ = 1.32874e-02 C₂₀ = 2.94218e-02 C₀₃ = −6.81885e-05 C₂₁ = 9.64816e-04C₀₄ = 1.70534e-05 C₂₂ = 4.93143e-05 C₄₀ = −1.51564e-06 R20: a = ∞ b = ∞t = 0. C₀₂ = −1.66195e-02 C₂₀ = −1.97204e-02 C₀₃ = −2.62112e-04 C₂₁ =8.70403e-05 C₀₄ = −3.71423e-06 C₂₂ = −7.20107e-06 C₄₀ = −6.70241e-06R21: a = ∞ b = ∞ t = 0. C₀₂ = −2.13470e-02 C₂₀ = −2.68230e-02 C₀₃ =−7.85470e-04 C₂₁ = 4.61286e-03 C₀₄ = −1.61086e-04 C₂₂ = −1.96712e-05 C₄₀= −6.34362e-05 R22: a = ∞ b = ∞ t = 0. C₀₂ = −2.30872e-02 C₂₀ =−2.69354e-02 C₀₃ = −3.03473e-06 C₂₁ = 1.13297e-03 C₀₄ = −3.08514e-05 C₂₂= 5.26162e-05 C₄₀ = 3.43593e-05 R23: a = ∞ b = ∞ t = 0. C₀₂ =−2.42460e-02 C₂₀ = −4.51798e-02 C₀₃ = 3.73285e-04 C₂₁ = 4.33871e-03 C₀₄= −1.89172e-04 C₂₂ = 1.70543e-04 C₄₀ = 3.82206e-06 R24: a = ∞ b = ∞ t =0. C₀₂ = −1.92202e-02 C₂₀ = −2.60605e-02 C₀₃ = 1.04217e-04 C₂₁ =3.77042e-04 C₀₄ = −1.55696e-05 C₂₂ = −2.50258e-05 C₄₀ = −2.42690e-05

[0219] In FIG. 14, a first optical element B1 is in the form of arefractive lens with a first surface R1 and a second surface R2. A thirdsurface R1 is a stop. A second optical element B2 is constructed with afourth surface R4 (refracting entrance surface), five curved innerreflecting surfaces R5 through R9 and a tenth surface R10 (refractingexit surface) arranged on one block. A third optical element B3 is inthe form of a refractive lens with a 10′-th surface R10′ and an eleventhsurface R11. Incidentally, the second and third optical elements B2 andB3 are cemented together at their adjoining surfaces R10 and R10′.

[0220] A fourth optical element B4 is constructed with a twelfth surfaceR12 (refracting entrance surface), five curved inner reflecting surfacesR13 through R17 and an eighteenth surface R18 (refracting exit surface)arranged on one block. A fifth optical element B5 is constructed with anineteenth surface R19 (refracting entrance surface), five curved innerreflecting surfaces R20 through R24 and a twenty fifth surface R25(refracting exit surface) arranged on one block. A twenty sixth surfaceR26 is the image plane coincident with the image receiving surface of animage pickup device such as a CCD.

[0221] The present embodiment provides a so-called 3-component zoomlens. The first optical element B1, the stop R3, the second opticalelement B2 and the third optical element B3 constitute a first lensunit. The fourth optical element B4 constitutes a second lens unit. Thefifth optical element B5 constitutes a third lens unit. Of these, thesecond and third lens units constitute a zoom section and vary theirrelative positions to vary the focal length.

[0222] Next, the function of forming an image with an object at infinityis described. A light beam that has passed through the first opticalelement B1 and the stop R3 successively, enters the second opticalelement B2. In the interior of the second optical element B2, the lightbeam is refracted by the fourth surface R4, then reflected from thefifth surface R5, the sixth surface R6, the seventh surface R7, theeighth surface R8 and the ninth surface R9 and then refracted by thetenth surface R10. The refracted light beam enters the third opticalelement B3 and is refracted by the eleventh surface R11, exiting fromthe third optical element B3. During this time, the light beam isfocused to form an intermediate image in the neighborhood of the sixthsurface R6. Further, a second image is formed in the space between thethird optical element B3 and the fourth optical element B4.

[0223] The light beam then enters the fourth optical element B4. In theinterior of the fourth optical element B4, the light beam is refractedby the twelfth surface R12, then reflected from the thirteenth surfaceR13, the fourteenth surface R14, the fifteenth surface R15, thesixteenth surface R16 and the seventeenth surface R17 and then refractedby the eighteenth surface R18. Then, the light beam exits from thefourth optical element B4. During this time, the light beam is focusedto form an intermediate image in the space between the fourteenthsurface R14 and the fifteenth surface R15. Further, the light beam formsa pupil in the neighborhood of the sixteenth surface R16.

[0224] Then, the light beam enters the fifth optical element B5. In theinterior of the fifth optical element B5, the light beam is refracted bythe nineteenth surface R19, then reflected from the twentieth surfaceR20, the twenty first surface R21, the twenty second surface R21, thetwenty third surface R23 and the twenty fourth surface R24 and thenrefracted by the twenty fifth surface R25. The light beam thus exitsfrom the fifth optical element B5. During this time, the light beam isfocused to form an intermediate image in the neighborhood of the twentyfirst surface R21.

[0225] Finally, the light beam exiting from the fifth optical element B5arrives at the twenty sixth surface or plane R26 on which the finalimage is formed.

[0226] Next, the operation of varying the image magnification isdescribed. The first unit composed of the first optical element B1, thesecond optical element B2 and the third optical element B3 remainsstationary during zooming. The fourth optical element B4 moves to theplus direction in the Z axis as zooming goes from the wide-angle end tothe telephoto end. The fifth optical element B5 simultaneously moves tothe plus direction in the Z axis. The image plane or the twenty sixthsurface R26 does not move during zooming.

[0227] During zooming from the wide-angle end to the telephoto end, theseparation between the third optical element B3 and the fourth opticalelement B4 narrows, the separation between the fourth optical element B4and the fifth optical element B5 widens and the separation between thefifth optical element B5 and the image plane R26 widens. Also, thelength of the optical path of the entire system from the first surfaceR1 to the image plane R29 becomes longer as zooming goes from thewide-angle end to the telephoto end.

[0228] In the present embodiment, the entering and exiting referenceaxes of each of the second, fourth and fifth optical elements B2, B4 andB5 are parallel with each other and oriented to opposite directions.

[0229] The lateral aberrations of the zoom optical system of the presentembodiment are shown in the graphs of FIGS. 15, 16 and 17.

[0230] For the focusing purposes, the first optical element B1 is movedto the Z axis to suit to different object distances.

[0231] An advantage of the present embodiment arises from the facts thatthe stop R3 is disposed adjacent to the entrance surface R1 at which alight beam first enters in the zoom optical system and that an image ofan object is formed in the interior of each of the second, fourth andfifth optical elements B2, B4 and B5. By this arrangement, the effectivediameter of each of the surfaces of these optical elements is shortened.This leads to minimize the dimension in the X axis. The optical elementof compact form is thus obtained.

[0232] Another advantage arises from the fact that the second, fourthand fifth optical elements B2, B4 and B5 each are provided with aplurality of inner reflecting surfaces which are given proper refractivepowers and arranged in decentered relation. This allows the light beaminside the zoom optical system to be folded to a desired shape withoutcausing the light beam to be blocked off in any part. The total lengthin the Z direction is thus shortened.

[0233] Yet another advantage arising from the fact that the second,fourth and fifth optical elements B2, B4 and B5 each have its reflectingsurfaces formed on a rigid transparent body is that the reflectingsurfaces can be positioned in a uniform tolerance (assembling tolerance)which greatly affects the optical performance. The optical system thuslittle suffers any loss of positioning accuracy with aging.

[0234] Furthermore, the zoom optical system has its first opticalelement B1 constructed with coaxial refracting surfaces (in the form ofa coaxial optical element). Therefore, the focusing mechanism becomessimpler in structure.

[0235] Another feature of the invention is that the entering referenceaxis of the first optical element B1 which does not move during zoomingas in the above embodiments 1 to 4 may be inclined by a certain anglewith respect to that plane which has so far contained all of thereference axes, that is, the YZ plane. By this arrangement, the degreeof freedom for the form of cameras can be increased.

[0236]FIG. 18 is a perspective view of a zoom optical system with theentering reference axis oriented to parallelism with the X axis. Thisoptical system is derived from the first embodiment 1 by providing thespace between the second surface R2 and the third surface R3 with aninner reflecting mirror R1,2 of flat shape inclined 45° to the YZ plane.The entering reference axis of the first optical element B1 is thus setup in parallel to the X axis.

[0237] In FIG. 18, a first optical element B1 remains stationary duringzooming, so corresponding to the first unit of the 3-unit zoom opticalsystem. It is to be noted that the first optical element B1 is shown byits reflecting surfaces along in perspective view. A second opticalelement B2 and a third optical element B3 move in differential relationto vary the focal length, so constituting a zoom section. The secondoptical element B2 corresponds to the so-called variator and the thirdoptical element B3 corresponds to the so-called compensator.

[0238] The second and third optical elements B2 and B3 move on onecommon line (the aligned optical axis of these optical elements) in theYZ plane in FIG. 18. All the reference axes of the second and thirdoptical elements B2 and B3 lie on this line.

[0239] In this optical system, some of the reference axes within thefirst optical element B1 stationary during zooming, namely a referenceaxis A1, 2 through a reference axis A1, 8, must exist in the YZ plane.However, the others, i.e., a reference axis A0 from the object to thestop and a reference axis A1,1 from the stop to the first reflectingsurface R1, 2 are not necessarily present in the plane of the referenceaxes (YZ plane).

[0240] In other words, the present embodiment employs the reflectingsurface R1, 2 for the purpose of deflecting the direction of thereference axis A0 entering from the direction of the X axis to thedirection of the Z axis. In such a manner, the direction of a light beamentering the zoom optical system can be determined freely when thereflecting surface R1, 2 is disposed at an appropriate point in theneighborhood of the entrance surface R2 of the first reflective blockand inclined by an appropriate angle to the YZ plane in which the laterreference axes are contained. This leads to a possibility of increasingthe degree of freedom for the design of cameras.

[0241] (Embodiment 5)

[0242]FIG. 19 shows sectional views in the YZ plane of an embodiment 5of the zoom optical system according to the invention. This embodimentis applied to the optical system for use in picking up an image andprovides a 3-component zoom lens whose range is about 2. The numericaldata for the embodiment 5 are shown below. W N T Horizontal Semifield19.1 13.7 9.8 Vertical Semifield 14.5 10.4 7.4 Aperture Diameter 1.601.80 2.10 Image Size in mm: (H × V) =4.0 x 3.0 Optics Size at W: (X × Y× Z) = 10.2 × 30.0 × 49.9 i Yi Zi (W) θi Di Ndi νdi Sur. First Lens Unit 1 0.00 0.00 0.00 2.00 1 Stop First Optical Element B1:  2 0.00 2.000.00 2.00 1.74400 44.70 R  3 0.00 4.00 0.00 8.00 1 R Second OpticalElement B2:  4 0.00 12.00 30.00 12.00 1 L  5 −10.39 6.00 30.00 10.00 1 LThird Optical Element B3:  6 −10.39 16.00 0.00 2.00 1.75500 27.60 R  7−10.39 13.00 0.00 Var. 1 R Second Lens Unit: Fourth Optical Element B4: 8 −10.39 36.98 0.00 2.00 1.71766 46.92 R  9 −10.39 38.93 0.00 7.00 1 RFifth Optical Element B5: 10 −10.39 45.98 45.00 12.00 1 L 11 −22.3945.98 45.00 Var. 1 L Third Lens Unit: Sixth Optical Element B6: 12−22.39 34.13 0.00 2.00 1.48994 68.59 R 13 −22.39 32.13 0.00 Var. 1 R 14−22.39 18.85 0.00 1 I.P. W P1 T D 7 18.98 8.71 1.00 D 11 11.80 15.2520.00 D 14 13.33 13.33 13.33 R 1 + up to R 7: Zi (M) = Zi (W) + 13.73 Zi(T) = Zi (W) + 26.18 R 8 + up to R 11: Zi (M) = Zi (W) + 3.46 Zi (T) =Zi (W) + 6.20 R 12 + up to R 13: Zi (M) = Zi (W) Zi (T) = Zi (W) R 14:Zi (N) = Zi (W) Zi (T) = Zi (W) Shape of Spherical Surface R2 Surface:R₂ = 97.206 R3 Surface: R₃ = −26.032 R6 Surface: R₆ = 11.385 R7 Surface:R₇ = 15.046 R8 Surface: R₈ = −159.987 R9 Surface: R₉ = 24.470 R12Surface: R₁₂ = 1000.000 R13 Surface: R₁₃ = −85.375 Shape of AsphericSurface: R 4: a = 1.45475e+01 b = −5.77853e+00 t = −2.42608e+01 C₀₃ =8.63617e−04 C₂₁ = 1.60115e−03 C₀₄ = 8.13611e−05 C₂₂ = 7.31698e−05 C₄₀ =−1.34827e−04 R 5: a = −9.91101e+01 b = 4.27960e+01 t = −1.14636e+01 C₀₃= 8.70976e−05 C₂₁ = 1.68477e−04 C₀₄ = −1.72354e−04 C₂₂ = −2.22388e−04C₄₀ = −1.98849e−04 R 10: a = 4.10898e+02 b = −2.06186e+01 t =4.55596e+01 C₀₃ = −1.57719e−04 C₂₁ = −4.64176e−04 C₀₄ = −2.54948e−06 C₂₂= 1.89777e−05 C₄₀ = −8.72541e−07 R 11: a = −1.26094e+02 b = 2.55428e+01t = 4.44452e+01 C₀₃ = 9.65477e−05 C₂₁ = 6.18718e−05 C₀₄ = −5.69335e−06C₂₂ = 2.19389e−05 C₄₀ = 8.07381e−06

[0243] Image Size in mm: (H×V)=4.0×3.0

[0244] Optics Size at W: (X×Y×Z)=10.2×30.0×49.9 i Yi Zi (W) θi Di Ndiυdi Sur. First Lens Unit 1 0.00 0.00 0.00 2.00 1 Stop First OpticalElement B1: 2 0.00 2.00 0.00 2.00 1.74400 44.70 R 3 0.00 4.00 0.00 8.001 R Second Optical Element B2: 4 0.00 12.00 30.00 12.00 1 L 5 −10.396.00 30.00 10.00 1 L Third Optical Element B3: 6 −10.39 16.00 0.00 2.001.75500 27.60 R 7 −10.39 18.00 0.00 Var. 1 R Second Lens Unit: FourthOptical Element B4: 8 −10.39 36.98 0.00 2.00 1.71766 46.92 R 9 −10.3938.93 0.00 7.00 1 R Fifth Optical Element B5: 10  −10.39 45.98 45.0012.00 1 L 11  −22.39 45.98 45.00 Var. 1 L Third Lens Unit: Sixth OpticalElement B6: 12  −22.39 34.18 0.00 2.00 1.48994 68.59 R 13  −22.39 32.180.00 Var. 1 R 14  −22.39 18.85 0.00 1 I.P.

[0245] W M T D 7 18.98 8.71 1.00 D11 11.80 15.25 20.00 D14 13.33 13.3313.33

[0246] R 1 + up to R 7: Zi (M) = Zi (W) + 13.73 Zi (T) = Zi (W) + 26.18R 8 + up to R11: Zi (M) = Zi (W) + 3.46 Zi (T) = Zi (W) + 6.20 R12 + upto R13: Zi (M) = Zi (W) Zi (T) = Zi (W) R14: Zi (N) = Zi (W) Zi (T) = Zi(W)

[0247] Shape of Spherical Surface R 2 Surface: R₂ = 97.206 R 3 Surface:R₃ = −26.032 R 6 Surface: R₆ = 11.385 R 7 Surface: R₇ = 15.046 R 8Surface: R₈ = −159.987 R 9 Surface: R₉ = 24.470 R12 Surface: R₁₂=1000.000 R13 Surface: R₁₃= −85.375

[0248] Shape of Asperic Surface: R 4: a = 1.45475e+01 b = −5.77853e+00 t= −2.42608e+01 C₀₃ = 8.63617e−04 C₂₁ = 1.60115e−03 C₀₄ = 8.13611e−05 C₂₂= 7.31698e−05 C₄₀ = −1.34827e−04 R 5: a = −9.91101e+01 b = 4.27960e+01 t= −1.14636e+01 C₀₃ = 8.70976e−05 C₂₁ = 1.68477e−04 C₀₄ = 1.72354e−04 C₂₂= −2.22388e−04 C₄₀ = −1.98849e−04 R10: a = 4.10898e+02 b = −2.06186e+01t = 4.55596e+01 C₀₃ = −1.57719e−04 C₂₁ = −4.64176e−04 C₀₄ = −2.54948e−06C₂₂ = 1.89777e−05 C₄₀ = −8.72541e−07 R11: a = −1.26094e+02 b =2.55428e+01 t = 4.44452e+01 C₀₃ = 9.65477e−05 C₂₁ = 6.18718e−05 C₀₄ =−5.69335e−06 C₂₂ = 2.19389e−05 C₄₀ = 8.07381e−06

[0249] In FIG. 19, the first surface R1 is a stop that is the entrancepupil. A first optical element B1 is a refractive lens formed with asecond surface R2 and a third surface R3. A second optical element B2 isformed with a reflecting fourth surface R4 and a reflecting fifthsurface R5 each as a surface mirror in unison on one member. A thirdoptical element B3 is a refractive lens formed with a sixth surface R6and a seventh surface R7. A fourth optical element B4 is a refractivelens formed with an eighth surface R8 and a ninth surface R9. A fifthoptical element B5 is formed with a reflecting tenth surface R10 and areflecting eleventh surface R11 each as a surface mirror in unison onone member. A sixth optical element B6 is a refractive lens formed witha twelfth surface R12 and a thirteenth surface R13. A fourteenth surfaceR14 is the image plane coincident at the image receiving surface of animage pickup device such as a CCD.

[0250] The first to third optical elements B1, B2 and B3 constitute afirst lens unit. The fourth and fifth optical elements B4 and B5constitute a second lens unit. The sixth optical element B6 constitutesa third lens unit. Of these, the first and second lens units constitutea zoom section and vary their relative positions to vary the focallength.

[0251] Next, the function of forming an image with an object at infinityis described. A light beam that has passed through the stop R1 and thefirst optical element B1 successively, enters the second optical elementB2. In the interior of the second optical element B2, the light beam isreflected from the fourth surface R4 and the fifth surface R5 and exitsfrom the second optical element B2. During this time, the light beamforms an intermediate image in the neighborhood of the fifth surface R5.Then, the light beam passes through the third optical element B3.

[0252] The light beam then passes through the fourth optical element B4and enters the fifth optical element B5. In the interior of the fifthoptical element B5, the light beam is reflected from the tenth surfaceR10 and the eleventh surface R11 and then exits from the fifth opticalelement B5. During this time, the light beam forms a pupil in the spacebetween the tenth surface R10 and the eleventh surface R11.

[0253] Then, the light beam passes through the sixth optical element B6and forms a final image on the fourteenth surface R14.

[0254] Next, the operation of varying the image magnification isdescribed. During zooming from the wide-angle end to the telephoto end,the first lens unit (the first to third optical elements B1, B2 and B3 )moves to the plus direction in the Z axis. The second lens unit (thefourth and fifth optical elements B4 and B5), too, simultaneously movesto the plus direction in the Z axis. The sixth optical element B6 andthe fourteenth surface R14 that is the image plane do not move duringzooming.

[0255] By zooming from the wide-angle end to the telephoto end, theseparation between the third optical element B3 and the fourth opticalelement B4 narrows and the separation between the fifth optical elementB5 and the sixth optical element B6 widens. The separation between thesixth optical element B6 and the image plane R14 does not vary. Also,the length of the optical path of the entire system from the firstsurface R1 to the image plane R14 varies, becoming ever shorter aszooming goes from the wide-angle end to the telephoto end.

[0256] In the present embodiment, the entering and exiting referenceaxes of the second optical element B2 are parallel with each other andoriented to the same direction. The entering and exiting reference axesof the fifth optical element B5 are parallel with each other andoriented to opposite directions.

[0257] The lateral aberrations of the zoom optical system of the presentembodiment are shown in the graphs of FIGS. 20, 21 and 22.

[0258] For the focusing purposes, either the second lens unit (thefourth and fifth optical elements B4 and B5) or the third lens unit (thesixth optical element B6) moves to suit to different object distances.

[0259] An advantage of the present embodiment arises from the facts thatthe stop R1 is disposed on the object side of the zoom optical systemand that an object image is formed in the interior of the second opticalelement B2. By this arrangement, the effective diameter of each of thesurfaces of the second optical element B2 and those that follow isshortened. This leads to minimize the dimension in the X axis. Theoptical elements of compact form are thus obtained.

[0260] Another advantage arises from the fact that the second and fifthoptical elements B2 and B5 each are provided with a plurality ofreflecting surfaces which are given proper refractive powers andarranged in decentered relation. This allows the light beam inside thezoom optical system to be folded to a desired shape without causing thelight beam to be blocked off in any part. The total length in the Zdirection is thus shortened.

[0261] Yet another advantage arising from the fact that the second andfifth optical elements B2 and B5 each have its two surface mirrorsformed in unison on one member is that the reflecting surfaces can bepositioned in a uniform tolerance (assembling tolerance) which greatlyaffects the optical performance. The optical system thus little suffersany loss of positioning accuracy with aging.

[0262] Further, the zoom optical system of the present embodiment ismade up by employing a number of optical elements of two types in goodcombination, one of which has a plurality of reflecting surfaces formedin unison and the other of which is constructed with the coaxialrefracting surfaces (coaxial optical element). As compared with the casewhere the zoom optical system is constructed only with the reflectingsurfaces arranged in decentered relation, therefore, the produced amountof decentering aberrations is more suppressed by having the coaxialoptical element made to share the refractive power. The use of theoptical element which is composed of coaxial refracting sphericalsurfaces facilitates the easiness of correcting all aberrations.

[0263] Furthermore, such an optical element of coaxial refractingspherical surfaces is easy to manufacture.

[0264] It is to be noted that, since, in the present embodiment, thesixth optical element B6 is a refractive lens, the direction of theexiting reference axis from the sixth optical element B6 is the same asthe direction of the entering reference axis to the sixth opticalelement B6. However, it is to be understood that the direction and angleof the exiting reference axis are not confined as such. For example, thespace between the sixth optical element B6 and the image plane R14 maybe provided with an additional mirror inclined 45° to the YZ plane sothat the exiting reference axis is bent to the perpendicular direction(parallel to the X axis) to the paper.

[0265] Also, for the entering reference axis to the optical system, amirror, for example, may be disposed on the object side of the stop R1and inclined 45° to the YZ plane so that the reference axis enters fromthe perpendicular direction (parallel to the X axis) to the paper. Theuse of such a mirror can even more increase the degree of freedom forthe design of cameras.

[0266] Of the above-described embodiments, the embodiments 1 to 4 eachprovide a zoom optical system comprising a plurality of optical elementsincluding an optical element having two refracting surfaces and aplurality of reflecting surfaces formed in a transparent body, beingarranged such that a light beam enters an inside of the transparent bodyfrom one of the two refracting surfaces and, after being successivelyreflected from the plurality of reflecting surfaces, exits from theother of the two refracting surfaces, and an optical element composed ofa plurality of coaxial refracting surfaces, wherein an image of anobject is formed through the plurality of optical elements, and zoomingis effected by varying relative positions of at least two opticalelements of the plurality of optical elements. The embodiment 5 providesa zoom optical system comprising a plurality of optical elementsincluding an optical element having a plurality of surface mirrorsintegrally formed and decentered relative to one another, being arrangedsuch that an incident light beam exits therefrom after beingsuccessively reflected from reflecting surfaces of the plurality ofsurface mirrors, and an optical element composed of a plurality ofcoaxial refracting surfaces, wherein an image of an object is formedthrough the plurality of optical elements, and zooming is effected byvarying relative positions of at least two optical elements of theplurality of optical elements.

[0267] Besides these, according to the invention, the fourth opticalelement B4 and/or the fifth optical element B5 in the embodiment 4 maybe otherwise constructed with a plurality of surface mirrors decenteredfrom one another and made up in unison, such that the entering lightbeam repeats reflection from the successive surface mirrors, before itexits. In this case, there is produced an advantage of reducing theweight of the zoom optical system.

[0268] Also, in the invention, for the optical element which contributesto a variation of the focal length, the direction of zooming movement isnot necessarily parallel to the direction of the entering reference axisto the zoom optical system. Depending on the situation of the design ofthe image pickup apparatus, the direction of zooming movement of theoptical element may be changed to an angle of, for example, 30°, 45° or60° with respect to the entering reference axis to the zoom opticalsystem by inclining the exiting reference axis of the first opticalelement.

[0269] Next, another form of the zoom optical system will be describedbelow.

[0270] When defining, as a reference axis ray, a ray of light whichcomes from an object, enters the zoom optical system, passes the centerof a stop and reaches the center of a final image plane, defining, as anentering reference axis of each surface, each optical element or eachlens unit, the reference axis ray which enters each surface, eachoptical element or each lens unit of the zoom optical system, defining,as an exiting reference axis of each surface, each optical element oreach lens unit, the reference axis ray which exits from each surface,each optical element or each lens unit of the zoom optical system,defining, as a reference point, an intersection point of the enteringreference axis and each surface, defining, as a direction of theentering reference axis and a direction of the exiting reference axis,directions in which the reference axis ray advances from an object sideto an image side in the entering reference axis and the exitingreference axis, respectively, the zoom optical system comprises thestop, at least one off-axial optical element having an off-axialreflecting surface inclined with respect to the reference axis ray, andat least one coaxial optical element composed only of surfaces ofrevolution symmetry with respect to the reference axis ray, whereinzooming is effected by moving the at least one off-axial optical elementand the at least one coaxial optical element.

[0271] In particular, the zoom optical system has the followingfeatures.

[0272] The off-axial optical element is an optical element having tworefracting surfaces and one or more off-axial reflecting surfacesintegrally formed in a transparent body.

[0273] The off-axial optical element is disposed immediately beforeand/or immediately behind the stop along the reference axis ray.

[0274] The stop moves in unison with the off-axial optical element whichmoves during zooming.

[0275] The coaxial optical element is a single lens.

[0276] The direction of the reference axis ray passing through thecoaxial optical element is orthogonal or inclined to the direction ofthe reference axis ray passing through the stop.

[0277] Further, when defining, as a reference axis ray, a ray of lightwhich comes from an object, enters the zoom optical system, passes thecenter of a stop and reaches the center of a final image plane,defining, as an entering reference axis of each surface, each opticalelement or each lens unit, the reference axis ray which enters eachsurface, each optical element or each lens unit of the zoom opticalsystem, defining, as an exiting reference axis of each surface, eachoptical element or each lens unit, the reference axis ray which exitsfrom each surface, each optical element or each lens unit of the zoomoptical system, defining, as a reference point, an intersection point ofthe entering reference axis and each surface, defining, as a directionof the entering reference axis and a direction of the exiting referenceaxis, directions in which the reference axis ray advances from an objectside to an image side in the entering reference axis and the exitingreference axis, respectively, the zoom optical system comprises, inorder from an object side along the reference axis ray, a firstoff-axial optical element, the stop, a second off-axial optical elementand a coaxial optical element, wherein zooming is effected by moving atleast one of the first and second off-axis optical element and thecoaxial optical element.

[0278] In particular, the zoom optical system has the followingfeatures.

[0279] Each of the first and second off-axial optical elements is anoptical element having two refracting surfaces and two off-axialreflecting surfaces integrally formed in a transparent body.

[0280] The direction of the entering reference axis and the direction ofthe exiting reference axis of each of the first and second off-axialoptical elements are parallel to each other.

[0281] The first off-axial optical element, the stop and the secondoff-axial optical element move in unison during zooming.

[0282] The first off-axial optical element, the second off-axial opticalelement and the coaxial optical element move independent of each otherduring zooming.

[0283] The direction of the entering reference axis and the direction ofthe exiting reference axis of each of the first and second off-axialoptical elements are orthogonal to each other, and the first off-axialoptical element, the stop and the second off-axial optical element movein unison during zooming.

[0284] The coaxial optical element is a negative lens.

[0285]FIG. 29 is a diagram of the basic design of an embodiment 6 of thezoom optical system according to the invention. A reference axis ray 12passes at the center of the aperture opening of a stop 11 and arrives atthe center of a final image plane 16. Optical elements 13 and 14 eachhave a reflecting surface (not shown) inclined to the reference axis ray12. (The inclined reflecting surface to the entering reference axis ishereinafter called the “off-axial” reflecting surface. Also, the opticalelement having the off-axial reflecting surface is hereinafter calledthe “off-axial” optical element.) The first off-axial optical element 13and the second off-axial optical element 14 are arranged along thereference axis ray 12 in this order from the object side.

[0286] A third optical element of revolution symmetry with respect tothe reference axis ray 12 (or coaxial optical element) is disposedbefore the final image plane 16. The first off-axial optical element 13,the stop 11 and the second off-axial optical element 14 move in unisonas a front lens unit 17, during zooming. The third optical element 15simultaneously moves as a rear lens unit.

[0287] Here, the front lens unit 17 has a positive refractive power andthe rear lens unit 15 has a negative refractive power. As a whole, theyconstitute a 2-unit zoom lens of plus-minus power arrangement, whereinthe rear lens unit 15 bears the function of varying the imagemagnification, while the front lens unit 17 compensates for the imageshift.

[0288] The reference axis ray 12 passes at the center of apertureopening of the stop 11 and is refracted or reflected by the successivesurfaces, finally arriving at the center of the final image plane 16. Inthe invention, the reference axis ray is used as being equivalent to theoptical axis of the coaxial system. Although the reference axis ray hasbeen defined as encountering the center of aperture opening of the stopand the center of the image plane, the invention is not confined to sucha definition, provided that it is representative of the effective lightbeam of the optical system.

[0289]FIG. 30 shows the structure of the first off-axial optical element13. FIG. 31 is a perspective view of the first off-axial optical element13. The first optical element 13 is formed with two refracting surfaces41 and 44 and two reflecting surfaces 42 and 43 in a transparent body.Incidentally, the reflecting surfaces 42 and 43 are coated by the vacuumevaporation technique or the like to form mirrors. The refractingsurface 41 is an entrance surface, and the refracting surface 42 is anexit surface.

[0290] In the front lens unit 17 of an embodiment 6 of the invention,such optical elements as the first off-axis optical element 13 arearranged on either side of the stop 11 in symmetric relation. By thisarrangement, the principal ray of any angular field is guidedsymmetrically in respect to the stop 11 at every station in the entirezooming range, thus producing an effect of canceling the decenteringdistortions by each other. This would be hardly obtained if the frontlens unit 17 is constructed with one off-axial optical element. The useof the unified form of a number of surfaces like the first or secondoptical element 13 or 14 assures a higher positioning accuracy than whenthe individual surfaces are set up one after another, thus obviating thenecessity of adjusting the positions and the inclinations. Also, thereis no need to use a member for supporting the reflecting surfaces.Therefore, the number of parts is reduced.

[0291] Another advantage arises from the main contribution of thereflecting surfaces to the required refractive power for the opticalelement. This allows the refracting surfaces to have a greater degree offreedom. So, despite the desired refractive power being held, it becomespossible to suppress the produced amount of chromatic aberrations.

[0292] The present embodiment employs such optical elements in the zoomoptical system with an advantage of obviating the necessity of using apositive lens and a negative lens in one unit for the purpose ofcorrecting chromatic aberrations. So, the zoom optical system can beconstructed with a smaller number of optical parts.

[0293] In the present embodiment, the off-axial optical element and thecoaxial optical element which is constructed only with surfaces ofrevolution symmetry are used in combination. This leads to achieve azoom optical system having a smaller total number of parts. That is, inthe case of FIG. 29, two off-axial optical elements are sufficient forthe front lens unit and the one negative lens is sufficient for the rearlens unit. Thus, three parts constitute the zoom optical system.

[0294]FIG. 32 is a diagram of the basic design of an embodiment 7 of thezoom optical system according to the invention. This embodiment differsfrom the embodiment 6 in the construction of the front lens unit. InFIG. 32, a first optical element 21 and a second optical element 22corresponds to the first off-axial optical element 13 and the secondoff-axial optical element 14 of the embodiment 6, respectively. Even inthe present embodiment, the first optical element 21, the stop 11 andthe second optical element 22 constitute a front lens unit 24 of a2-unit zoom optical system, and the third optical element 15 constitutesa rear lens unit.

[0295] The zooming method of the present embodiment is the same as thatof the embodiment 6.

[0296] In the present embodiment, the first optical element 21 and thesecond optical element 22 each are arranged so that the enteringdirection of the reference axis ray is orthogonal to the exitingdirection thereof, thus reducing the size of the front lens unit 24 inthe z direction. Therefore, the total length in this direction becomesshorter than that of the embodiment 6. Incidentally, the direction ofthe reference axis ray passing through the stop 11 is orthogonal to thedirection of the reference axis ray passing through the third opticalelement 15.

[0297] Further, the basic optical arrangement of the present embodimentis the same as that of the embodiment 6. The optical elements 21 and 22are arranged on either side of the stop 11 in symmetric relation tocorrect decentering distortion in particular. The other effects are thesame as in the embodiment 6.

[0298]FIG. 33 is a diagram of the basic design of an embodiment 8 of thezoom optical system according to the invention. This embodimentresembles in construction with the embodiment 6, but differs from theembodiment 6 in a point that the front lens unit shown in FIG. 29 isdivided into two parts with the result that the entire system comprisesthree units. These three units move in differential relation duringzooming. That is, the first optical element 13 is used as a first lensunit, the stop 11 and the second optical element 14 as a second lensunit and the third optical element (coaxial optical element) 15 as athird lens unit. This produces an advantage of reducing the range ofvariation of decentering aberrations of the optical elements 13 and 14during zooming.

[0299] Even in the present embodiment, the off-axial optical element andthe coaxial optical element of only the surfaces of revolution symmetryare used in combination, thereby producing an advantage of achieving azoom optical system with a smaller total number of parts. In the case ofFIG. 33, two off-axial optical elements and one negative lens, that is,three parts, are sufficient for constructing a 3-unit zoom opticalsystem.

[0300] The method of expressing the design parameters for the followingnumerical examples is fundamentally the same as that for the numericalexamples of the embodiments 1 to 5, but different points are mentionedbelow.

[0301] The values of the coordinate of every surface are expressed inrelation of the values for the wide-angle end. For the middle positionand the telephoto end, the values are expressed by the differences fromthose of the wide-angle end. Specifically, denoting the moved amountsfrom the wide-angle end (W) to the middle position (M) and the telephotoend (T) by “a” and “b”, respectively, the following equations areobtained:

Zi(M)=Zi(W)+a

Zi(T)=Zi(W)+b,

[0302] where the sign of the “a” or “b” is positive when the surfacemoves to the plus direction, or negative when it moves to the minusdirection. The ones of the separations Di which vary with this movementare variable. So, their values for each zooming station are listedtogether in another tabulation.

[0303] Di is a scaler quantity representing the separation between theoriginal points of the local coordinates for the i-th and (i+1)stsurfaces. Ndi and vdi are respectively the refractive index and Abbenumber of the medium between the i-th and (i+1)st surfaces.Incidentally, the stop and the final image plane, too, are shown each asone plane.

[0304] The embodiments of the invention have spherical surfaces andaspheric surfaces of revolution asymmetry. Of these, the spherical onesare taken as sphere and described by the radii of curvature Ri with plussign when the center of curvature falls on the plus side of the z axisof the local coordinates, or minus sign when it falls on the minus side.

[0305] Here, the shape of the spherical surface is expressed by thefollowing equation:$z = \frac{{\left( {x^{2} + y^{2}} \right)/R}\quad i}{1 + \sqrt{1 - {{\left( {x^{2} + y^{2}} \right)/R}\quad i^{2}}}}$

[0306] The optical system of the invention includes at least oneaspheric surface of revolution asymmetry, and its shape is expressed bythe following equation:z = A/B + C₀₂y² + C₁₁x  y + C₂₀x² + C₀₃y³ + C₁₂x  y² + C₂₁x²y + C₃₀x³ + C₀₄y⁴ + C₁₃x  y³ + C₂₂x²y² + C₃₁x³y + C₄₀x⁴ + C₀₅y⁵ + C₁₄x  y⁴ + C₂₃x²y³ + C₃₂x³y² + C₄₁x⁴y + C₅₀x⁵ + C₀₆y⁶ + C₁₅x  y⁵ + C₂₄x²y⁴ + C₃₃x³y³ + C₄₂x⁴y² + C₅₁x⁵y + C₆₀x⁶

[0307] where

A=(a+b) (y ²·cos² t+x ²)

B=2a·b·cos t[1+{(b−a)·y·sin t/(2a·b)}+[1+{(b−a)·y·sin t/(a·b)}−{y²/(a·b)}−{4a·b·cos² t+(a+b)²·sin t}x ²/(4a ² b ²·cos² t)]^(½)].

[0308] In the surface formula described above, “A/B” shows the shape ofthe surface of the second order. So, this formula expresses the shape ofthe aspheric surface of revolution asymmetry based on the surface of thesecond order. In the embodiments of the invention, however, A/B=0 isset, in the surface formula described above. This implies that thesurface is of revolution asymmetry based on the plane. Specifically,regardless of the value of “t”, the following condition is obtained:

[0309] a=b=∞

[0310] Further, all the surfaces of revolution asymmetry in theinvention are formed to the shapes of plane symmetry with respect to theyz plane by using only the terms of even-numbered order in respect of“x” in the equation described above and putting “0” to the terms ofodd-numbered order. Every surface of revolution asymmetry in theinvention satisfies the following condition:

[0311] C₁₁=C₁₂=C₃₀=C_(13 =C) ₃₁=C₁₄=C₃₂=C₅₀=C₁₅=C₃₃=C₅₁=0.

[0312] The term “horizontal semifield u_(y)” means a half of the maximumangular field the system covers at the first surface R1 in the YZ planein FIG. 5. The term “vertical semifield u_(x)” means a half of themaximum angular field the system covers at the first surface R1 in theXZ plane.

[0313] Also, the diameter of the stop is shown as the aperture diameter.This regulates the brightness of the optical system. Also, the effectivearea of the image plane is shown as the image size. The image area is ofthe rectangular shape with the horizontal sides in the y direction ofthe local coordinates, and the vertical sides in the x direction.

[0314] Also, for the numerical example of each of the embodiments, itslateral aberrations are graphically represented in the wide-angle end(W), the middle position (M) and the telephoto end (T), as rays of lightare incident on the stop R1 at respective horizontal and vertical anglesof (u_(y), u_(x)), (0, u_(x)), (−u_(y), u_(x)), (u_(y),0) (0,0) and(−u_(y), 0). In the graphs of the lateral aberrations, the abscissa isin the height of incidence on the pupil and the ordinate is in theproduced amount of aberration. In any of the embodiments, every surfaceis basically formed to symmetric shapes with respect to the yz plane.Even in the graphs of the lateral aberrations, therefore, the plus andminus directions of the vertical angular field become the same. So, thegraphs of the lateral aberrations of the minus direction are omitted forthe purpose of simplifying the drawings.

[0315] Numerical examples of embodiments 6 to 8 are shown below.

[0316] (Embodiment 6)

[0317] This numerical example of the embodiment 6 provides a zoomoptical system whose range is about 1.9. FIGS. 34, 35 and 36 aresectional views of the zoom optical system with the optical paths shownin the wide-angle end (W), the middle position (M) and the telephoto end(T), respectively. W M T Horizontal Semifield 27.2 21.6 14.4 VerticalSemifield 18.9 14.6 9.7 Aperture Diameter 8.00 8.00 8.00 i Yi Zi (W) θiDi Ndi νdi Sur. First Optical Element D1:  1 0.00 0.00 0.00 16.001.51741 52.41 R  2 0.00 16.00 30.00 20.00 1.51741 52.41 L  3 −17.32 6.0030.00 16.00 1.51741 52.41 L  4 −17.32 22.00 0.00 2.00 1 R  5 −17.3224.00 0.00 2.00 1 Stop Second Optical Element B2:  6 −17.32 26.00 0.008.00 1.51741 52.41 R  7 −17.32 40.00 −30.00 20.00 1.51741 52.41 L  80.00 30.00 −30.00 16.00 1.51741 52.41 L  9 0.00 46.00 0.00 Var. 1 RThird Optical Element B3: 10 0.00 62.38 0.00 2.80 1.83480 42.72 R 110.00 65.18 0.00 Var. 1 R 12 0.00 84.40 0.00 1 I.P. W M T D 9 16.38 11.605.58 D 11 19.22 33.77 69.22 R 1 + up to R 9: Zi (M) = Zi (W) − 9.76 Zi(T) = Zi (W) − 39.20 R 10 + up to R 11: Zi (M) = Zi (W) − 14.55 Zi (T) =Zi (W) − 50.00 R 12: Zi (M) = Zi (W) Zi (T) = Zi (W) Shape of SphericalSurface: R1 Surface: R₁ = −70.000 R4 Surface: R₄ = ∞ R6 Surface: R₆ = ∞R9 Surface: R₉ = −30.024 R10 Surface: R₁₀ = −34.943 R11 Surface: R₁₁ =262.245 Shape of Aspheric Surface: R 2: C₀₂ = 1.17370e−02 C₂₀ =6.60704e−03 C₀₂ = −8.20960e−05 C₂₁ = 3.17239e−05 C₀₄ = 4.42532e−06 C₂₂ =1.70696e−05 C₄₀ = 8.12432e−06 C₀₅ = −1.95325e−07 C₂₃ = −4.57659e−07 C₄₁= 5.28528e−08 C₀₆ = 1.43266e−08 C₂₄ = 5.50930e−08 C₄₂ = 6.05424e−08 C₆₀= 2.85711e−08 R 3: C₀₂ = 4.78752e−03 C₂₀ = 6.08577e−03 C₀₃ = 8.04000e−06C₂₁ = −2.48947e−05 C₀₄ = −8.47604e−08 C₂₂ = 5.58110e−06 C₄₀ =3.62312e−06 C₀₅ = 3.57983e−09 C₂₃ = −8.90555e−08 C₄₁ = −1.93993e−08 C₀₆= −2.14023e−10 C₂₄ = 2.72588e−09 C₄₂ = 1.86232e−09 C₆₀ = 5.94017e−09 R7: C₀₂ = −6.10763e−03 C₂₀ = 6.78303e−04 C₀₃ = −2.10107e−05 C₂₁ =−2.95023e−05 C₀₄ = −4.32906e−07 C₂₂ = 5.68199e−06 C₄₀ = 8.04608e−06 C₀₅= −6.44143e−09 C₂₃ = −1.01568e−07 C₄₁ = −1.36560e−07 C₀₆ = −−4.76639e−10C₂₄ = 2.17578e−09 C₄₂ = −4.18606e−09 C₆₀ = −7.664 68e−09 R 8: C₀₂ =−8.05505e−03 C₂₀ = 2.18969e−03 C₀₃ = −2.78436e−05 C₂₁ = 1.86649e−05 C₀₄= −3.36701e−06 C₂₂ = 6.81965e−06 C₄₀ = 3.17321e−06 C₀₅ = 2.21811e−08 C₂₃= −1.17535e−08 C₄₁ = 1.52834e−08 C₀₆ = −6.42291e−09 C₂₄ = 1.70935e−09C₄₂ = −1.57102e−08 C₆₀ = −8.28707e−09

[0318] i Yi Zi (W) θi Di Ndi υdi Sur. First Optical Element B1: 1 0.000.00 0.00 16.00 1.51741 52.41 R 2 0.00 16.00 30.00 20.00 1.51741 52.41 L3 −17.32 6.00 30.00 16.00 1.51741 52.41 L 4 −17.32 22.00 0.00 2.00 1 R 5−17.32 24.00 0.00 2.00 1 Stop Second Optical Element B2: 6 −17.32 26.000.00 8.00 1.51741 52.41 R 7 −17.32 40.00 −30.00 20.00 1.51741 52.41 L 30.00 30.00 −30.00 16.00 1.51741 52.41 L 9 0.00 46.00 0.00 Var. 1 R ThirdOptical Element B3: 10  0.00 62.38 0.00 2.80 1.83480 42.72 R 11  0.0065.18 0.00 Var. 1 R 12  0.00 84.40 0.00 1 I.P.

[0319] W M T D9 16.38 11.60 5.58 D11 19.22 33.77 69.22

[0320] R 1 + up to R 9: Zi (M) = Zi (W) − 9.76 Zi (T) = Zi (W) − 39.20R10 + up to R11: Zi (M) = Zi (W) − 14.55 Zi (T) = Zi (W) − 50.00 R12: Zi(M) = Zi (W) Zi (T) = Zi (W)

[0321] Shape of Spherical Surface: R 1 Surface: R₁ = −70.000 R 4Surface: R₄ = ∞ R 6 Surface: R₆ = ∞ R 9 Surface: R₉ = −30.024 R10Surface: R₁₀ = −34.943 R11 Surface: R₁₁ = 262.245 Shape of AsphericSurface: R 2: C₀₂ = 1.17370e-02 C₂₀ = 6.60704e-03 C₀₃ = −8.20960e-05 C₂₁= 3.17239e-05 C₀₄ = 4.42532e-06 C₂₂ = 1.70696e-05 C₄₀ = 8.12432e-06 C₀₅= −1.95325e-07 C₂₃ = −4.57659e-07 C₄₁ = 5.28528e-08 C₀₆ = 1.43266e-08C₂₄ = 5.50930e-08 C₄₂ = 6.05424e-08 C₆₀ = 2.85711e-08 R 3: C₀₂ =4.78752e-03 C₂₀ = 6.08577e-03 C₀₃ = 8.04000e-06 C₂₁ = −2.48947e-05 C₀₄ =−8.47604e-08 C₂₂ = 5.58110e-06 C₄₀ = 3.62312e-06 C₀₅ = 3.57983e-09 C₂₃ =−8.90555e-08 C₄₁ = −1.93993e-08 C₀₆ = −2.14023e-10 C₂₄ = 2.72588e-09 C₄₂= 1.86232e-09 C₆₀ = 5.94017e-09 R 7: C₀₂ = −6.10763e-03 C₂₀ =6.78303e-04 C₀₃ = −2.10107e-05 C₂₁ = −2.95023e-05 C₀₄ = −4.32906e-07 C₂₂= 5.68199e-06 C₄₀ = 8.04608e-06 C₀₅ = −6.44143e-09 C₂₃ = −1.01568e-07C₄₁ = −1.36560e-07 C₀₆ = −4.76639e-10 C₂₄ = 2.17578e-09 C₄₂ =−4.18606e-09 C₆₀ = −7.66468e-09 R 8: C₀₂ = −8.05505e-03 C₂₀ =2.18969e-03 C₀₃ = −2.78436e-05 C₂₁ = −1.86649e-05 C₀₄ = −3.36701e-06 C₂₂= 6.81965e-06 C₄₀ = 3.17321e-06 C₀₅ = 2.21811e-08 C₂₃ = −1.17535e-08 C₄₁= 1.52834e-08 C₀₆ = −6.42291e-09 C₂₄ = 1.70935e-09 C₄₂ = −1.57102e-08C₆₀ = −8.28707e-09

[0322] The constituent parts of the present embodiment are described inthe order from the object side. A first optical element B1 isconstructed with a first surface R1 (refracting entrance surface ofconcave form), a second surface R3 and a third surface R3 which are incurved form of inner reflection and decentered, and a fourth surface R4(refracting exit surface of plain form) in one transparent body. Thesecond surface R2 acts as a convex reflecting surface. A fifth surfaceR5 is a stop plane. A second optical element B2 is constructed with asixth surface R6 (refracting entrance surface of plain form), a seventhsurface R7 and an eighth surface R8 which are in curved form of innerreflection and decentered, and a ninth surface R9 (refracting exitsurface of convex form) in one transparent body. The eighth surface R8acts as a convex reflecting surface. A third optical element B3 is inthe form of a negative lens with a tenth surface R10 and an eleventhsurface R11 coaxial to each other. A twelfth surface R12 is the finalimage plane coincident with the image receiving surface of an imagepickup device such as a CCD.

[0323] The first optical element B1, the stop R5 and the second opticalelement B2 have a positive overall refractive power and move in unison,constituting a first lens unit (front lens unit). The third opticalelement B3 has a negative refractive power, constituting a second lensunit (rear lens unit) which moves during zooming.

[0324] Next, the image forming function is described on the assumptionthat an object is at infinity. A light beam coming from an object firstenters the first optical element B1, and the light beam is refracted inpassing through the first surface R1, then reflected from the secondsurface R2 and the third surface R3 successively, and then refracted inexiting from the fourth surface R4.

[0325] The light beam, after having passed through the stop or the fifthsurface R5, then enters the second optical element B2, where the lightbeam is refracted at the sixth surface R6, then reflected from theseventh surface R7 and the eighth surface R8 successively, and thenrefracted at the ninth surface R9, exiting from the second opticalelement B2.

[0326] The light beam then enters the third optical element B3, wherethe light beam is refracted at the tenth surface R10 and the eleventhsurface R11 and exits from the third optical element B3.

[0327] The light beam that has exited from the third optical element B3finally forms an image on the twelfth surface R12.

[0328] Each of the first and second off-axial optical elements B1 and B2of the present embodiments is an off-axial optical element in which theentering reference axis and the exiting reference axis are oriented tothe same direction.

[0329] Next, the function of varying the image magnification by movingthe lens units is described. The present embodiment is a 2-unit zoomlens of plus-minus power arrangement in this order from the object side.During zooming from the wide-angle end to the telephoto end, the frontlens unit and the rear lens unit both move to the minus direction in theZ axis, while narrowing the separation therebetween.

[0330]FIGS. 37, 38 and 39 are graphs of the lateral aberrations of suchan optical system in the wide-angle end (W), a middle position (M) andthe telephoto end (T). These graphs are depicted with regard to six raysof light which enter the optical system at angles of (u_(y), u_(x)) (0,u_(x)), (−u_(y), u_(x)) (u_(y), 0), (0,0) and (−u_(y), 0) with the Yaxis and the X axis. Incidentally, the abscissa of each graph is in theheight of incidence of the entering ray on the stop R5 in the Y and Xdirections.

[0331] As can be seen from the graphs, the aberrations are corrected ingood balance in each of the zooming positions.

[0332] Incidentally, it is premised in the present embodiment that theimage size is 36 mm×24 mm.

[0333] (Embodiment 7)

[0334] The numerical example of the embodiment 7 provides a zoom opticalsystem whose range is about 1.9. FIGS. 40, 41 and 42 are sectional viewsof the zoom optical system with the optical paths shown in thewide-angle end (W), a middle position (M) and the telephoto end (T),respectively. W M T Horizontal Semifield 27.2 21.6 14.4 VerticalSemifield 18.9 14.6 9.7 Aperture Diameter 8.00 8.00 8.00 i Yi Zi (W) θiDi Ndi νdi Sur. First Optical Element B1:  1   0.00   0.00 0.00 16.001.51741 52.41 R  2   0.00  16.00 28.00 17.00 1.51741 52.41 L  3 −14.09  6.49 73.00 24.00 1.51741 52.41 L  4   9.91   6.49 90.00 2.00 1 R  5 11.91   6.49 90.00 2.00 1 Stop Second Optical Element B2:  6  13.91  6.49 90.00 16.00 1.51741 52.41 R  7  35.91   6.49 70.00 17.00 1.5174152.41 L  8  22.88 − 4.43 25.00 20.00 1.51741 52.41 L  9  22.88  15.570.00 Var. 1 R Third Optical Element B3 (Negative Lens): 10  22.88  31.990.00 2.80 1.83480 42.72 R 11  22.88  34.79 0.00 Var. 1 R 12  22.88 55.07 0.00 1 I.P. W N T D 9 16.43 11.93 6.30 D 11 20.28 34.79 70.28 R1 + up to R 9: Zi (M) = Zi (W) − 10.01 Zi (T) = Zi (W) − 39.88 R 10 + upto R 11: Zi (M) = Zi (W) − 14.51 Zi (T) = Zi (W) − 50.00 R 12: Zi (M) =Zi (W) Zi (T) = Zi (W) Shape of Spherical Surface: R 1 Surface: R₁ =−60.000 R 4 Surface: R₄ = ∞ R 6 Surface: R₆ = ∞ R 9 Surface: R₉ =−35.226 R 10 Surface: R₁₀ = 42.989 R 11 Surface: R₁₁ = 94.318 Shape ofAspheric Surface R 2: C₀₂ = 1.79244e-02 C₂₀ = −1.52002e-04 C₀₃ =2.91478e-04 C₂₁ = −4.53461e-05 C₀₄ = −6.15025e-06 C₂₂ = 2.99463e-06 C₄₀= −2.71165e-07 C₀₅ = 1.04508e-06 C₂₃ = 1.86002e-07 C₄₁ = −1.48849e-08C₀₆ = 7.13288e-08 C₂₄ = 8.65582e-09 C₄₂ = −7.46787e-09 C₆₀ = 6.59757e-09R 3: C₀₂ = 6.97073e-03 C₂₀ = −9.56998e-04 C₀₃ = 6.11813e-05 C₂₁ =−4.53546e-05 C₀₄ = −4.08851e-06 C₂₂ = −1.86658e-06 C₄₀ = −3.32310e-07C₀₅ = 3.03036e-07 C₂₃ = 6.29105e-08 C₄₁ = 2.53765e-08 C₀₆ = −1.24765e-08C₂₄ = −3.65030e-09 C₄₂ = −1.04366e-08 C₆₀ = 1.64066e-08 R 7: C₀₂ =−8.55985e-03 C₂₀ = −2.21093e-03 C₀₃ = 1.12454e-05 C₂₁ = −3.52367e-05 C₀₄= −2.60229e-07 C₂₂ = −1.96530e-06 C₄₀ = 8.68966e-07 C₀₅ = −1.79083e-09C₂₃ = −4.59509e-08 C₄₁ = −1.05935e-08 C₀₆ = −1.47512e-09 C₂₄ =−3.24982e-09 C₄₂ = −3.41218e-10 C₆₀ = −1.94830e-09 R 8: C₀₂ =−1.36422e-02 C₂₀ = 1.92964e-03 C₀₃ = 2.54697e-04 C₂₁ = −6.64828e-05 C₀₄= −9.76231e-06 C₂₂ = −3.77447e-06 C₄₀ = 1.78974e-07 C₀₅ = 4.48426e-07C₂₃ = −1.79772e-07 C₄₁ = 7.87360e-10 C₀₆ = −4.46303e-03 C₂₄ =−9.64066e-09 C₄₂ = −4.44809e-09 C₆₀ = −3.30943e-09

[0335] i Yi Zi (W) θi Di Ndi νdi Sur. First Optical Element B1: 1 0.000.00 0.00 16.00 1.51741 52.41 R 2 0.00 16.00 28.00 17.00 1.51741 52.41 L3 −14.09 6.49 73.00 24.00 1.51741 52.41 L 4 9.91 6.49 90.00 2.00 1 R 511.91 6.49 90.00 2.00 1 Stop Second Optical Element B2: 6 13.91 6.4990.00 16.00 1.51741 52.41 R 7 35.91 6.49 70.00 17.00 1.51741 52.41 L 822.88 −4.43 25.00 20.00 1.51741 52.41 L 9 22.88 15.57 0.00 Var. 1 RThird Optical Element B3 (Negative Lens): 10 22.88 31.99 0.00 2.801.83480 42.72 R 11 22.88 34.79 0.00 Var. 1 R 12 22.88 55.07 0.00 1 I.P.

[0336] W M T D 9 16.43 11.93 6.30 D11 20.28 34.79 70.28

[0337] R 1 + up to R 9: Zi (M) = Zi (W) −10.01 Zi (T) = Zi (W) −39.88R10 + up to R11: Zi (M) = Zi (W) −14.51 Zi (T) = Zi (W) −50.00 R12: Zi(M) = Zi (W) Zi (T) = Zi (W)

[0338] Shape of Spherical Surface: R 1 Surface: R₁ = −60.000 R 4Surface: R₄ = ∞ R 6 Surface: R₆ = ∞ R 9 Surface: R₉ = −35.226 R10Surface: R₁₀ = −42.989 R11 Surface: R₁₁ = 94.318

[0339] Shape of Aspheric Surface R 2: C₀₂ = 1.79244e-02 C₂₀ =−1.52002e-04 C₀₃ = 2.91478e-04 C₂₁ = −4.53461e-05 C₀₄ = −6.15025e-06 C₂₂= −2.99463e-06 C₄₀ = −2.71165e-07 C₀₅ = 1.04508e-06 C₂₃ = 1.86002e-07C₄₁ = −1.48849e-08 C₀₆ = 7.13288e-08 C₂₄ = 8.65582e-09 C₄₂ =−7.46787e-09 C₆₀ = 6.59757e-09 R 3: C₀₂ = 6.97073e-03 C₂₀ = −9.56998e-04C₀₃ = 6.11813e-05 C₂₁ = −4.53546e-05 C₀₄ = −4.08851e-06 C₂₂ =−1.86658e-06 C₄₀ = −3.32310e-07 C₀₅ = 3.03036e-07 C₂₃ = 6.29105e-08 C₄₁= 2.53765e-08 C₀₆ = −1.24765e-08 C₂₄ = −3.65030e-09 C₄₂ = −1.04366e-03C₆₀ = 1.64066e-03 R 7: C₀₂ = −8.55985e-03 C₂₀ = −2.21093e-03 C₀₃ =1.12454e-05 C₂₁ = −3.52367e-05 C₀₄ = −2.60229e-07 C₂₂ = −1.96530e-06 C₄₀= 8.68966e-07 C₀₅ = −1.79083e-09 C₂₃ = −4.59509e-08 C₄₁ = −1.05935e-08C₀₆ = −1.47512e-09 C₂₄ = −3.24982e-09 C₄₂ = −3.41218e-1O C₆₀ =−1.94830e-09 R 8: C₀₂ = −1.36422e-02 C₂₀ = 1.92964e-03 C₀₃ = 2.54697e-04C₂₁ = −6.64823e-05 C₀₄ = −9.76231e-06 C₂₂ = −3.77447e-O6 C₄₀ =1.73974e-07 C₀₅ = 4.48426e-07 C₂₃ = −1.79772e-07 C₄₁ = 7.37360e-1O C₀₆ =−4.46303e-03 C₂₄ = −9.64066e-09 C₄₂ = −4.44809e-09 C₆₀ = −3.30943e-09

[0340] The constituent parts of the present embodiment are describedsuccessively in the order from the object side. A first optical elementB1 is constructed with a first surface R1 (refracting entrance surfaceof concave form), a second surface R3 and a third surface R3 which arein curved form of inner reflection and decentered, and a fourth surfaceR4 (refracting exit surface of plain form) in one transparent body. Thesecond surface R2 acts as a convex reflecting surface. A fifth surfaceR5 is a stop plane. A second optical element B2 is constructed with asixth surface R6 (refracting entrance surface of plain form), a seventhsurface R7 and an eighth surface R8 which are in curved form of innerreflection and decentered, and a ninth surface R9 (refracting exitsurface of convex form) in one transparent body. The eighth surface R8acts as a convex reflecting surface. A third optical element B3 is inthe form of a negative lens with a tenth surface R10 and an eleventhsurface R11 coaxial to each other. A twelfth surface R12 is the finalimage plane coincident with the image receiving surface of an imagepickup device such as a CCD.

[0341] The first optical element B1, the stop R5 and the second opticalelement B2 have a positive overall refractive power and move in unison,constituting a first lens unit (front lens unit). The third opticalelement B3 has a negative refractive power, constituting a second lensunit (rear lens unit) which moves during zooming.

[0342] Next, the image forming function is described on the assumptionthat an object is at infinity. A light beam coming from an object firstenters the first optical element B1, and the light beam is refracted inpassing through the first surface R1, then is reflected from the secondsurface R2 and the third surface R3 successively, and then is refractedat the fourth surface R4, exiting from the first optical element B1.

[0343] The light beam, after having passed through the stop or the fifthsurface R5, then enters the second optical element B2, where the lightbeam is refracted at the sixth surface R6, then is reflected from theseventh surface R7 and the eighth surface R8 successively, and then isrefracted at the ninth surface R9, exiting from the second opticalelement B2.

[0344] The light beam then enters the third optical element B3, wherethe light beam is refracted at the tenth surface R10 and the eleventhsurface R11 and exits from the third optical element B3.

[0345] The light beam that has exited from the third optical element B3finally forms an image on the twelfth surface R12.

[0346] Each of the first and second optical elements B1 and B2 of thepresent embodiment is an off-axial optical element in which the enteringreference axis and the exiting reference axis are orthogonal to eachother.

[0347] Next, the function of varying the image magnification by movingthe lens units is described. The present embodiment is a 2-unit zoomlens of plus-minus power arrangement in this order from the object side.During zooming from the wide-angle end to the telephoto end, the frontlens unit and the rear lens unit both move to the minus direction in theZ axis, while narrowing the separation therebetween.

[0348]FIGS. 43, 44 and 45 are graphs of the lateral aberrations of suchan optical system in the wide-angle end (W), the middle position (M) andthe telephoto end (T), respectively. These aberrations are produced bysix rays of light which enter the optical system at angles of (u_(y),u_(x)), (0, u_(x)), (−u_(y), u_(x)), (u_(y), 0), (0,0) and −u_(y), 0)with the Y axis and the X axis. Incidentally, the abscissa of each graphis in the height of incidence of the entering ray on the stop R5 in theY and X directions.

[0349] As can be seen from the graphs, the aberrations are corrected ingood balance in each of the zooming positions.

[0350] It is premised in the present embodiment that the image size is36 mm×24 mm.

[0351] (Embodiment 8)

[0352] A numerical example of the embodiment 8 provides a zoom opticalsystem whose range is about 1.9. FIGS. 46, 47 and 48 are sectional viewsof the zoom optical system with the optical paths shown in thewide-angle end (W), a middle position (M) and the telephoto end (T),respectively. W M T Horizontal Semifield 27.2 21.6 14.4 VerticalSemifield 18.9 14.6 9.7 Aperture Diameter 8.00 8.00 8.00 i Yi Zi (W) θiDi Ndi νdi Sur. First Optical Element B1:  1   0.00 0.00  0.00 16.001.51741 52.41 R  2   0.00 16.00  30.00 20.00 1.51741 52.41 L  3 −17.326.00  30.00 16.00 1.51741 52.41 L  4 −17.32 22.00   0.00 Var. 1 R  5−17.32 24.00   0.00 2.00 1 Stop Second Optical Element B2:  6 −17.3226.00   0.00 8.00 1.51741 52.41 R  7 −17.32 40.00 −30.00 20.00 1.5174152.41 L  8   0.00 30.00 −30.00 16.00 1.51741 52.41 L  9   0.00 46.00  0.00 Var. 1 R Third Optical Element B3 (Negative Lens): 10   0.0062.06   0.00 2.80 1.83480 42.72 R 11   0.00 64.86   0.00 Var. 1 R 12  0.00 84.15   0.00 1 I.P. W M T D 4 2.00 3.58 2.17 D 9 16.06 11.16 5.20D 11 19.29 34.31 69.29 R 1 + up to R 4: Zi (M) = Zi (W) − 11.70 Zi (T) =Zi (W) − 39.31 R 5 + up to R 9: Zi (M) = Zi (W) − 10.12 Zi (T) = Zi (W)− 39.14 R 10 + up to R 11: Zi (M) = Zi (W) − 15.02 Zi (T) = Zi (W) −50.00 R 12: Zi (M) = Zi (W) Zi (T) = Zi (W) Shape of Spherical Surface:R 1 Surface: R₁ = −70.000 R 4 Surface: R₄ = −1095.034 R 6 Surface: R₆ =1694.773 R 9 Surface: R₉ = −30.368 R 10 Surface: R₁₀ = −39.973 R 11Surface: R₁₁ = 142.109 Shape of Aspheric Surface: R 2: C₀₂ = 1.14912e-02C₂₀ = 6.26525e-03 C₀₃ = −4.77249e-05 C₂₁ = 8.20929e-05 C₀₄ = 4.10346e-06C₂₂ = 1.01293e-05 C₄₀ = 8.27507e-06 C₀₅ = −1.63961e-07 C₂₃ = 7.02287e-08C₄₁ = 1.26644e-07 C₀₆ = 2.44243e-08 C₂₄ = 3.36166e-08 C₄₂ = 4.61438e-08C₆₀ = 1.61883e-08 R 3: C₀₂ = 4.89298e-03 C₂₀ = 5.68104e-03 C₀₃ =1.68581e-05 C₂₁ = 1.25831e-05 C₀₄ = −2.55210e-08 C₂₂ = 3.13563e-06 C₄₀ =3.87963e-06 C₀₅ = 4.20901e-09 C₂₃ = −2.17112e-08 C₄₁ = −2.44966e-08 C₀₆= 8.49458e-10 C₂₄ = 1.24354e-10 C₄₂ = 1.62318e-09 C₆₀ = 4.20862e-10 R 7:C₀₂ = −5.69972e-03 C₂₀ = 3.42455e-04 C₀₃ = −1.25357e-05 C₂₁ =1.29391e-05 C₀₄ = −3.47554e-07 C₂₂ = 2.91471e-06 C₄₀ = 7.06278e-06 C₀₅ =6.35559e-10 C₂₃ = −5.06508e-08 C₄₁ = −8.96749e-08 C₀₆ = −7.42470e-10 C₂₄= 3.88298e-10 C₄₂ = −6.12969e-09 C₆₀ = −2.91694e-09 R 8: C₀₂ =−7.33488e-03 C₂₀ = 2.03905e-03 C₀₃ = −9.78920e-07 C₂₁ = 1.50942e-05 C₀₄= −2.79340e-06 C₂₂ = 2.76445e-06 C₄₀ = −2.81122e-06 C₀₅ = 5.73943e-08C₂₃ = −6.48211e-09 C₄₁ = −3.98591e-09 C₀₆ = −6.05073e-09 C₂₄ =1.63517e-09 C₄₂ = −1.14923e-08 C₆₀ = −6.63843e-09

[0353] i Yi Zi (W) θi Di Ndi νdi Sur. First Optical Element B1: 1 0.000.00 0.00 16.00 1.51741 52.41 R 2 0.00 16.00 30.00 20.00 1.51741 52.41 L3 −17.32 6.00 30.00 16.00 1.51741 52.41 L 4 −17.32 22.00 0.00 Var. 1 R 5−17.32 24.00 0.00 2.00 1 Stop Second Optical Element B2: 6 −17.32 26.000.00 8.00 1.51741 52.41 R 7 −17.32 40.00 −30.00 20.00 1.51741 52.41 L 80.00 30.00 −30.00 16.00 1.51741 52.41 L 9 0.00 46.00 0.00 Var. 1 R ThirdOptical Element B3 (Negative Lens): 10 0.00 62.06 0.00 2.80 1.8348042.72 R 11 0.00 64.86 0.00 Var. 1 R 12 0.00 84.15 0.00 1 I.P.

[0354] W M T D 4 2.00 3.58 2.17 D 9 16.06 11.16 5.20 D11 19.29 34.3169.29

[0355] R 1 + up to R 4: Zi (M) = Zi (W) − 11.70 Zi (T) = Zi (W) − 39.31R 5 + up to R 9: Zi (M) = Zi (W) − 10.12 Zi (T) = Zi (W) − 39.14 R10 +up to R11: Zi (M) = Zi (W) − 15.02 Zi (T) = Zi (W) − 50.00 R12: Zi (M) =Zi (W) Zi (T) = Zi (W)

[0356] Shape of Spherical Surface: R 1 Surface: R₁ = −70.000 R 4Surface: R₄ = −1095.034 R 6 Surface: R₆ = 1694.773 R 9 Surface: R₉ =−30.368 R10 Surface: R₁₀ = −39.973 R11 Surface: R₁₁ = 142.109 Shape ofAspheric Surface: R 2: C₀₂ = 1.14912e-02 C₂₀ = 6.26525e-03 C₀₃ =−4.77249e-05 C₂₁ = 8.20929e-05 C₀₄ = 4.10346e-06 C₂₂ = 1.01293e-05 C₄₀ =8.27507e-06 C₀₅ = −1.63961e-07 C₂₃ = −7.02287e-08 C₄₁ = 1.26644e-07 C₀₆= 2.44243e-08 C₂₄ = 3.36166e-08 C₄₂ = 4.61438e-08 C₆₀ = 1.61883e-08 R 3:C₀₂ = 4.89298e-03 C₂₀ = 5.68104e-03 C₀₃ = 1.68581e-05 C₂₁ = 1.25831e-05C₀₄ = −2.55210e-08 C₂₂ = 3.13563e-06 C₄₀ = 3.87963e-06 C₀₅ = 4.20901e-09C₂₃ = −2.17112e-08 C₄₁ = −2.44966e-08 C₀₆ = 8.49458e-10 C₂₄ =1.24354e-10 C₄₂ = 1.62318e-09 C₆₀ = 4.20862e-10 R 7: C₀₂ = −5.69972e-03C₂₀ = 3.42455e-04 C₀₃ = −1.25357e-05 C₂₁ = 1.29391e-05 C₀₄ =−3.47554e-07 C₂₂ = 2.91471e-06 C₄₀ = 7.06278e-06 C₀₅ = 6.35559e-10 C₂₃ =−5.06508e-08 C₄₁ = −8.96749e-08 C₀₆ = −7.42470e-10 C₂₄ = 3.88298e-10 C₄₂= −6.12969e-09 C₆₀ = −2.91694e-09 R 8: C₀₂ = −7.33488e-03 C₂₀ =2.03905e-03 C₀₃ = −9.78920e-07 C₂₁ = 1.50942e-05 C₀₄ = −2.79340e-06 C₂₂= 2.76445e-06 C₄₀ = −2.81122e-06 C₀₅ = 5.73943e-08 C₂₃ = −6.48211e-09C₄₁ = −3.98591e-09 C₀₆ = −6.05073e-09 C₂₄ = 1.63517e-09 C₄₂ =−1.14923e-08 C₆₀ = −6.63843e-09

[0357] The constituent parts of the present embodiment are describedsuccessively in the order from the object side. A first optical elementB1 is constructed with a first surface R1 (refracting entrance surfaceof concave form), a second surface R3 and a third surface R3 which arein curved form of inner reflection and decentered, and a fourth surfaceR4 (refracting exit surface of almost plain form) in one transparentbody. The second surface R2 acts as a convex reflecting surface. A fifthsurface R5 is a stop plane. A second optical element B2 is constructedwith a sixth surface R6 (refracting entrance surface of almost plainform), a seventh surface R7 and an eighth surface R8 which are in curvedform of inner reflection and decentered, and a ninth surface R9(refracting exit surface of convex form) in one transparent body. Theeighth surface R8 acts as a convex reflecting surface. A third opticalelement B3 is in the form of a negative lens with a tenth surface R10and an eleventh surface R1l coaxial to each other. A twelfth surface R12is the final image plane coincident with the image receiving surface ofan image pickup device such as a CCD.

[0358] The first optical element B1 constitutes a first lens unit. Thestop R5 and the second optical element B2 constitute a second lens unit.The third optical element B3 constitutes a third lens unit.

[0359] Next, the image forming function is described on the assumptionthat an object is at infinity. A light beam coming from an object entersthe first optical element B1, and the light beam is refracted at thefirst surface R1, then is reflected from the second surface R2 and thethird surface R3 successively, and then is refracted at the fourthsurface R4, exiting from the first optical element B1.

[0360] The light beam, after having passed through the stop or the fifthsurface R5, then enters the second optical element B2, where the lightbeam is refracted at the sixth surface R6, then is reflected from theseventh surface R7 and the eighth surface R8 successively, and then isrefracted at the ninth surface R9, exiting from the second opticalelement B2.

[0361] The light beam then enters the third optical element B3, wherethe light beam is refracted at the tenth surface R10 and the eleventhsurface R11 and exits from the third optical element B3.

[0362] The light beam that has exited from the third optical element B3finally forms an image on the twelfth surface R12.

[0363] Each of the first and second optical elements B1 and B2 of thepresent embodiment is an off-axial optical element in which the enteringreference axis and the exiting reference axis are oriented to the samedirection.

[0364] Next, the function of varying the image magnification by movingthe lens units is described. The present embodiment is a 2-unit zoomlens of plus-minus power arrangement in this order from the object side.During zooming from the wide-angle end to the telephoto end, all of thelens units move to the minus direction in the Z axis. During this time,the separation between the first and second lens units once widens andthen narrows, and the separation between the second and third lens unitsnarrows.

[0365]FIGS. 49, 50 and 51 are graphs of the lateral aberrations of suchan optical system in the wide-angle end (W), the middle position (M) andthe telephoto end (T), respectively. These aberrations are produced bysix rays of light which enter the optical system at respective angles of(u_(y), u_(x)) , (0, u_(x)), (−u_(y), u_(x)), (u_(y), 0) (0,0) and(−u_(y), 0) with the Y axis and the X axis. The abscissa of each graphis in the height of incidence of the ray on the stop R5 in the Y and Xdirections.

[0366] As can be seen from the graphs, the aberrations are corrected ingood balance in each of the zooming positions.

[0367] It is premised in the present embodiment that the image size is36 mm×24 mm.

[0368] The foregoing embodiments each have achieved a zoom opticalsystem of which the total number of parts is reduced by using theoff-axial optical element and the coaxial optical element that is formedonly with the surfaces of rotation symmetry with respect to the ray ofreference axis.

[0369] Another advantage of the invention arising from the fact thatzooming is performed by the off-axial optical element and the coaxialoptical element that is formed only with the surfaces of rotationsymmetry with respect to the ray of reference axis is that, despite thefolding of the optical path to a desired shape in the interior of theoptical system, all primary and decentering aberrations are correctedwell throughout the entire zooming range. In such a manner, the zoomoptical system of a smaller total number of parts and an image pickupapparatus using the same are achieved.

[0370] Another advantage arising from the use of the off-axial opticalelement having a number of reflecting surfaces given proper refractivepower and arranged in decentered relation is that the optical path inthe interior of the zoom optical system is folded to a desired polygon,thus shortening the total length of that zoom optical system in acertain direction.

[0371] Yet another advantage arising from the use of the off-axialoptical element having formed in one transparent body two refractingsurfaces of proper refractive powers at the entrance and exit and anumber of reflecting surfaces of proper refractive powers arranged indecentered relation from the reference axis, is that all primaryaberrations and decentering aberrations are corrected well throughoutthe entire zooming range.

[0372] A furthermore advantage arising from the off-axial opticalelement having two refracting surfaces and a number of reflecting curvedor plain surfaces formed in unison in one transparent body, is that theentirety of the zoom optical system is reduced to a minimum in bulk andsize, while still permitting the problem of the severe positioningtolerance (setup tolerance) of the reflecting surfaces which has oftenheld in the mirror system.

1. A zoom optical system comprising: a plurality of optical elementsincluding: a) a first optical element having two refracting surfaces anda plurality of reflecting surfaces formed in a transparent body, beingarranged such that a light beam enters an inside of the transparent bodyfrom one of the two refracting surfaces and, after being successivelyreflected from the plurality of reflecting surfaces, exits from theother of the two refracting surfaces; and/or b) a second optical elementhaving a plurality of surface mirrors integrally formed and decenteredrelative to one another, being arranged such that an incident light beamexits therefrom after being successively reflected from reflectingsurfaces of the plurality of surface mirrors; and c) a third opticalelement composed of a plurality of coaxial refracting surfaces, whereinan image of an object is formed through said plurality of opticalelements, and zooming is effected by varying relative positions of atleast two optical elements of said plurality of optical elements.
 2. Azoom optical system according to claim 1, wherein a stop is disposed ona light entrance side of said zoom optical system, or adjacent to alight entrance surface at which a light beam first enters.
 3. A zoomoptical system according to claim 1 or 2, wherein each of said at leasttwo optical elements of which relative positions are varied has anentering reference axis and an exiting reference axis in parallel toeach other.
 4. A zoom optical system according to claim 3, wherein saidat least two optical elements of which relative positions are variedmove in parallel to each other on one movement plane.
 5. A zoom opticalsystem according to claim 3, wherein each of said at least two opticalelements of which relative positions are varied has an enteringreference axis and an exiting reference axis oriented to the samedirection.
 6. A zoom optical system according to calim 3, wherein one ofsaid at least two optical elements of which relative positions arevaried has an entering reference axis and an exiting reference axisoriented to the same direction, and another of said at least two opticalelements of which relative positions are varied has an enteringreference axix and an exiting reference axis oriented to oppositedirections.
 7. A zoom optical system according to claim 3, wherein eachof said at least two optical elements of which relative positions arevaried has an entering reference axis and an exiting reference axisoriented to opposite directions.
 8. A zoom optical system according toclaim 1, wherein focusing is effected by moving one of said at least twooptical elements of which relative positions are varied.
 9. A zoomoptical system according to claim 1, wherein focusing is effected bymoving an optical element other than said at least two optical elementsof which relative positions are varied.
 10. A zoom optical systemaccording to claim 1, wherein said zoom optical system forms at leastonce an object image at an intermediate point in an optical paththereof.
 11. A zoom optical system according to claim 1, wherein curvedreflecting surfaces among the plurality of reflecting surfaces are allformed to anamorphic shapes.
 12. A zoom optical system according toclaim 1, wherein all reference axes of said at least two opticalelements of which relative positions are varied lie on one plane.
 13. Azoom optical system according to claim 12, wherein at least a part ofreference axes of an optical element other than said at least twooptical elements of which relative positions are varied lie on said oneplane.
 14. A zoom optical system according to claim 1, wherein at leastone optical element of said plurality of optical elements has areflecting surface in which a normal line on the reflecting surface atan intersection point of a reference axis with the reflecting surface isinclined with respect to a movement plane on which said at least twooptical elements of which relative positions are varied move.
 15. Animage pickup apparatus having a zoom optical system according to claim1, wherein the image of the object is formed on an image pickup plane ofan image pickup medium.
 16. A zoom optical system according to claim 1,further comprising a stop disposed between said plurality of opticalelements.
 17. A zoom optical system according to claim 1, wherein saidthird optical element is a single lens.
 18. A zoom optical systemaccording to claim 1, wherein said first optical element and said thirdoptical element move during zooming.